Describe the transformations from f(x) = x 2 to g(x) = -0.3x 2 + 4

reflection over x-axis, vertical compression, and shift up

vertical compression and shift up

reflection over x-axis, vertical stretch, and shift up

vertical stretch and shift down

What do you do to the b value to correctly complete the square?

divide it by 2 and square the result

divide it by 2 and take the square root of the result

A baseball is hit into the air. The height of the baseball, in feet, as a function of time, in seconds, is represented in the graph. In the context of the problem, what is the meaning of (5, 246)?

After 5 seconds, the baseball is 246 feet in the air.

The maximum height is 246 feet.

After 246 seconds, the baseball is 5 feet in the air.

The baseball hits the ground at 5 seconds.

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds. For which interval is the ball's height always decreasing ?

2.5 < x < 5.5 2.5<x<5.5 2 . 5 < x < 5 . 5

0 ≤ x ≤ 2.5 0\le x\le2.5 0 ≤ x ≤ 2 . 5

0 < x < 5.5 0<x<5.5 0 < x < 5 . 5

Unit 4b Review Day 1

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA-REI.B.4B, HSF-IF.C.7A, HSA.APR.C.4

+6

Standards-aligned

Tavia Horton

Used 1+ times

FREE Resource

65 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

-10 & -4

-4 & 10

-8 & 4

8 & -4

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a=0, b=5, c=7

a=1, b=5, c=7

a=7, b=5, c=1

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

a = 2 , b = 3, c = -5

a = 2, b = -3, c = 5

a = 2, b = -3, c = -5

a = -2, b = 3, c = 5

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

-1.5 or 5

No Solution

-5 or 1.5

0.7 or 5

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the value of x using the quadratic formula, if a=2, b=2, and c=-12.

2 & -3

-2 & -3

-2 & 3

2 & 3

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

f(x) = (x - 5)² + 3
Which graph represents the quadratic function?

Answer explanation

Graph (x, y) point for vertex is (5, 3)
----- ----- ----- -----
X-value for vertex (5) must have opposite sign (-5) in function
----- ----- ----- -----
Y-value for vertex (3) must have same sign (3) in function
----- ----- ----- -----
f(x) = (x - 5)² + 3
Function and graph match

Tags

CCSS.HSF-IF.C.7A

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following quadratic functions has the vertex (2, 4)?

f(x) = 4(x − 2)² + 4

f(x) = 3(x + 2)² + 4

f(x) = 2(x − 4)² + 2

f(x) = 2(x + 4)² + 2

Answer explanation

Graph (x, y) point for vertex is (2, 4)
----- ----- ----- -----
X-value for vertex (2) must have opposite sign (-2) in function
----- ----- ----- -----
Y-value for vertex (4) must have same sign (4) in function
----- ----- ----- -----
f(x) = a(x - 2)² + 4
Function and graph match
----- ----- ----- -----
f(x) = 4(x − 2)² + 4
This is correct option

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Unit 4b Review Day 1

65 questions

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

Find the value of x using the quadratic formula, if a=2, b=2, and c=-12.

f(x) = (x - 5)² + 3
Which graph represents the quadratic function?

Graph (x, y) point for vertex is (5, 3)
----- ----- ----- -----
X-value for vertex (5) must have opposite sign (-5) in function
----- ----- ----- -----
Y-value for vertex (3) must have same sign (3) in function
----- ----- ----- -----
f(x) = (x - 5)² + 3
Function and graph match

Which of the following quadratic functions has the vertex (2, 4)?

f(x) = 3(x − 5)² + 7
What is the vertex of the following quadratic function?

f(x) = x² – 12x + 9
What is the vertex of the following quadratic function?

f(x) = x² – 12x + 9
----- ----- ----- -----
You can graph the function to see the vertex is (6, -27)

f(x) = -3(x + 4)² + 2
Find the maximum or minimum of the graph of the quadratic function.

f(x) = -3(x + 4)² + 2
----- ----- ----- -----
Graph (x, y) point for vertex is (-4, 2)
----- ----- ----- -----
The y-value for the vertex is the maximum value on graph (the highest point)
----- ----- ----- -----
Max: y = 2

Create a free account and access millions of resources

Similar Resources on Wayground

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Discover more resources for Mathematics

Unit 4b Review Day 1

65 questions

Solve Using the Quadratic Formula x2 + 4x - 40 = -8

In the equation y = x2 +5x +7, match each leading coefficient with its correct letter

Solve Using the Quadratic Formula 2x2 + 7x - 15 = 0

Find the value of x using the quadratic formula, if a=2, b=2, and c=-12.

f(x) = (x - 5)2 + 3Which graph represents the quadratic function?

Graph (x, y) point for vertex is (5, 3)----- ----- ----- -----X-value for vertex (5) must have opposite sign (-5) in function----- ----- ----- -----Y-value for vertex (3) must have same sign (3) in function----- ----- ----- -----f(x) = (x - 5)2 + 3Function and graph match

Which of the following quadratic functions has the vertex (2, 4)?

f(x) = 3(x − 5)2 + 7What is the vertex of the following quadratic function?

f(x) = x2 – 12x + 9What is the vertex of the following quadratic function?

f(x) = x2 – 12x + 9----- ----- ----- -----You can graph the function to see the vertex is (6, -27)

f(x) = -3(x + 4)2 + 2Find the maximum or minimum of the graph of the quadratic function.

f(x) = -3(x + 4)2 + 2----- ----- ----- -----Graph (x, y) point for vertex is (-4, 2)----- ----- ----- -----The y-value for the vertex is the maximum value on graph (the highest point)----- ----- ----- -----Max: y = 2

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

f(x) = (x - 5)² + 3
Which graph represents the quadratic function?

Graph (x, y) point for vertex is (5, 3)
----- ----- ----- -----
X-value for vertex (5) must have opposite sign (-5) in function
----- ----- ----- -----
Y-value for vertex (3) must have same sign (3) in function
----- ----- ----- -----
f(x) = (x - 5)² + 3
Function and graph match

f(x) = 3(x − 5)² + 7
What is the vertex of the following quadratic function?

f(x) = x² – 12x + 9
What is the vertex of the following quadratic function?

f(x) = x² – 12x + 9
----- ----- ----- -----
You can graph the function to see the vertex is (6, -27)

f(x) = -3(x + 4)² + 2
Find the maximum or minimum of the graph of the quadratic function.

f(x) = -3(x + 4)² + 2
----- ----- ----- -----
Graph (x, y) point for vertex is (-4, 2)
----- ----- ----- -----
The y-value for the vertex is the maximum value on graph (the highest point)
----- ----- ----- -----
Max: y = 2