The quadratic function f(x) has a vertex at (5,-5) and opens downward.

If g(x) = (x + 5)2 + 5, which statement is true?

A. The axis of symmetry of f(x) is x = 5, and the axis of symmetry of g(x) is x = -5.

B. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is x = -5.

C. The axis of symmetry of f(x) is x = 5, and the axis of symmetry of g(x) is x = 5.

D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is x = 5.

Answers

Answer 1

Answer:

The correct answer is A.

Step-by-step explanation:

We're told that f(x) has its vertex at 5, -5 and opens downward. This tells us that it's axis of symmetry is x = 5.

The format of the function g(x) shows us that its axis of symmetry is x = -5. We're shown this because of the (x + 5)² component.

So the correct answer is A.

Answer 2

Using the properties of the quadratic function we can review the different answers, the correct one is

D. The axis of symmetry of f(x) is x = -5,

the axis of symmetry of g(x) is g(x) = 5.

The quadratic function is a quadratic polynomial that has a parabolic form and a general equation

g (x) = a x² + bx + c

where a, b, c are the coefficients, x is the independent variable and g the dependent

If the function has real roots it can be written in vertex form

g (x) = a (x-h) ² + k

where (h, k) are the coordinates of the vertex

The quadratic function has several properties:

The graph of this function opens up if the coefficient "a" is positive and down if it is negative, The axis of symmetry is parallel to the y axis, passing through the vertex of the function The vertex of the parabola corresponds to the maximum or minimum of the curve

The function can be written as a vertex value that cancels the binomial is where the symmetry axis passes

in this case, for the parabola to open downwards, the curve must be:

g (x) = - (x + 5) ² + 5

this is the expression in vertex form, let's find the value that cancels the binomial,

x + 5 = 0

x = -5

at this point where the axis of symmetry passes

The value of the function for this point is

x = -5

g (x0 = - (-5 + 5) ² + 5

g (x) = 5

Using the properties of the quadratic function we can review the different answers, the correct one is

D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is

g(x) = 5

Learn more about quadratic function here:

https://brainly.com/question/21214550

Related Questions

Solve for x
A
37°
B
74
С
106°
D
53°

Answers

Answer:

Step-by-step explanation:

If you look at the circle and the angle that x is at you'll see that x is in the smaller part of the circle

each basket of corn holds 2.25 pounds uf harold sells 15 baskets of corn how many pounds of will he have sold?

Answers

Step-by-step explanation:

15×2.25

pounds sold = 33.75

How many degrees is -6.2 rotations clockwise

Answers

answer: −2,232°
explanation:
360°(-6.2) = −2,232°

what is the answer? A B C D

Answers

Answer:

Step-by-step explanation:

30 i believe.. let me know if i’m correct

Write as a fraction with a whole number divisor: 35.7 ÷ 0.07

Answers

Answer:

510

that the whole number

Answer this problem

Answers

Answer:

(3,-7)

(-8,48)

(-4,28)

(8,-32)

(-3,23)

Step-by-step explanation:

To solve, just put in the x value from the table as the x value in the equation. Then solve to get y.

Hope it helps!

Find the Percent:
A computer is marked up from last
year's model by 12%. If the cost last
year was $1150.00; What is the cost
of the new model?

Answers

Step-by-step explanation:

First, find 12 percent of 1,150,

12 percent of 1,150 = 138.

Now, add 1,150 + 138,

1,150 + 138 = 1,288

Hope I helped, if not, at least I tried.

A. 16
B. 8 sqr root of 3
C. 8 sqr root of 3/3
D.16 sqr root of 3
E. 24
I need help plz

Answers

9514 1404 393

Answer:

C. 8√3/3

Step-by-step explanation:

It can be useful to remember that the ratio of sides in a 30°-60°-90° triangle are ...

1 : √3 : 2

That is the short leg is 1/√3 times the length of the longer leg.

8(1/√3) = 8(√3/3) . . . . . matches choice C

Add these two Fractions together: 1 and 3/4 + 5/8

Answers

Answer:

11/8

Step-by-step explanation:

3/4=6/8

6/8+5/8=11/8

Solve for 1 and 3/4 + 5/8

= 7/4 + 5/8
= 14/8 + 5/8
= 19/8
= 2 and 3/8

What is the rate of change of the line through (-8, 4) and (-10, 0)?

Answers

Answer: (3,8) and (-2, 10)

Step-by-step explanation:

the slope of the line passing

Here is a system of equations.
y=3x-1
y=-x-5
Graph the system. Then write its solution. Note that you can also answer "No sol
B
G H

Answers

let me know if you want to know the algebraic way to solve without the graph!! i’d be more than happy to help!

The percentage of blue M&M's in a bag is 12%. If you have 125 M&M's in a bag, how many blue M&M's would you expect to have

Answers

Answer:

The expected amount of blue M&M's would be 15

Step-by-step explanation:

12% of 125 is 15 therefore you should expect 15.

Find the value of x.
A
28
20
B
9x – 8
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Answers

Answer:

The question is incorrect. please provide a diagram.

Find the measure of all the indicated angles.
Help please !!

Answers

The answer is 540 bc no three sides are congruent

Expand to write an equivalent expression
-1/4 (-8x +12y)

Answers

ANSWER
-2x + -3

EXPLANATION YOU MULTIPLE THE NUMBERS BY 1/4 each

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Lengh X width, 4 inch times 4 inch = 15. The area is 15

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Answer:

i think the answer is 45 degrees

Step-by-step explanation:

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Answer:

Yes u did thats what i did too XD

find the missing length indicated

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is given that two lines are parallel, and hence the corresponding angles are congruent, by corresponding angles postulate. It is also given that the triangles in the photo share an angle, by the reflexive property, the shared angle is congruent. Hence one can use angle-angle to determine that the two triangles in the picture are similar.

Using this, one can set up a proportion with the sides. The ratios of any two corresponding sides are the same as any other two corresponding sides in the triangle, respectively, this is due to the corresponding parts of similar triangles theorem.

[tex]\frac{9+12}{12}=\frac{49}{49-?}[/tex]

Simplify,

[tex]\frac{21}{12}=\frac{49}{49-?}\\\\\frac{7}{4}=\frac{49}{49-x}[/tex]

Cross products,

[tex](7)(49-?) = (4)(49)\\\\343-7?=196[/tex]

Inverse operations,

[tex]343-7?=196\\-343\\\\-7? = -147\\/-7\\\\?=21[/tex]

Write the equation of the line 1x + 3y = 6 in y = mx + b form.

Answers

Answer:

y = -1/3x + 2

Step-by-step explanation:

1x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Answer:

[tex]y=-\frac{x}{3}+2[/tex]

Step-by-step explanation:

1x + 3y = 6

We want the y to be isolated, so we subtract x from both sides,

3y = 6 - x

Now we divide everything by 3, to isolate y

[tex]y=-\frac{x}{3}+2[/tex]

Does this have, one solution, no solutions, or infinite solutions?

Answers

Answer:

Infinite

Step-by-step explanation:

Cuz i is a smart human

Answer:

The answer is No Solution

Step-by-step explanation:

area of rhombus whose diagonals are 9cm and 4cm is

Answers

Answer:

18 cm²

Step-by-step explanation:

you simply take (d1 × d2) / 2

and there you have it : )

(d = diagonals)

If m/ 6=30 what is m / 7?

Answers

Answer:

30 degrees because it is alternate to 30 degrees

Step-by-step explanation:

Answer : D.

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Lawrence has $50. He wants to buy some T-shirts that cost $12 each. He also wants to have at least $10 left to buy lunch. Which inequality shows the number of T-shirts, x, Lawrence can buy and still have at least $10 for lunch?

Answers

Answer:

x=3

Step-by-step explanation:

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A(n) ______________ is a change in size or position of an object.
a) Translation
b) Transformation
c) Rotation
d) Dilation

Answers

Answer:

I am guessing transformation

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To compute the perimeter of a rectangle, you add the length, l , and width, w , and double this sum.

This means you can find the perimeter of a rectangle by evaluating the expression 2 (1 + w ).
Use this expression to find the perimeter of a rectangle with length 30 and width 75.
210 (A)
135 (B)
180 (C)
107 (D)

Answers

Answer:

210 (A)

Step-by-step explanation:

Use the formula:

P = 2(l + w)

Substitute the values and find P:

P = 2(30 +75) = 2(105) = 210

Correct choice is A

Answer:

given length [l]=30

width[w]=75

perimeter= 2 (l + w )=2(30+75)=210

answer is A.210

what is 26453 x 45=??????????????????

Answers

Step-by-step explanation:

11,90,385 is the correct answer.

PLEASE THANK, RATE AND FOLLOW ME,

AND PLEASE MARK ME AS "BRAINLIEST" ANSWER

HOPE IT HELPS YOU

Answer: The answer to that is 1190385.

Hey I'm Chloe, Can you help me, Thank you :)
I need Help with Math:
-3A +2 ( 5- 2A) = - 11
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Answers

Answer:

There is no question just a equation.

Step-by-step explanation:

I'm not sure.

Answer:

You are indeed correct, A=3

Step-by-step explanation:

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Answer:

x=37, Angle A is 74. Exterior angle B is 185

Step-by-step explanation:

I'm pretty sure this right but This is a triangle that is folded to the inside. This means that most likely there is a negative interior degree

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A boat rental charges a flat fee of $45 and $4 per hour. Which expression represents the total cost to rent a boat for h hours

Answers

Answer:

45h+ 4

Step-by-step explanation:

you got to divide but the expression is 45h+4

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