Which two transformations can be used to obtain the graph of h(x) = −x 2 − d from the function f(x) = x 2

A reflection across the y-axis followed by a translation down d units.

A reflection across the y-axis followed by a translation up d units.

A reflection across the y-axis followed by a translation to the right d units.

A reflection across the y-axis followed by a translation to the left d units.

The graph of f(x) = x 2 is shown on the grid. Which statement about the relationship between the graph of f and the graph of g(x) = ⅓x 2 is true?

The graph of g is wider than the graph of f.

The graph of g is ⅓ to the left of graph f.

The graph of g is ⅓ units to the right of graph f.

The graph of g is narrower than the graph of f.

How does the graph of n(x) = (¼x) 2 differ from the graph of m(x) = x 2 ?

n(x) is stretched horizontally by a factor of 4.

n(x) is compressed horizontally by a factor of 4.

n(x) is compressed horizontally by a factor of ¼.

n(x) is stretched horizontally by a factor of ¼.

Which statement about the quadratic equation is true? 2x 2 − 15x + 18 = 0

The equation has x = ³∕₂ and x = 6 as its only solutions.

The equation has no real solutions.

The equation has an infinite number of solutions.

The equation has x = 6 as its only solution.

Which statement about the graph below is true?

The zeros are −3 and 1, because y = −(x + 3)(x − 1).

The zeros are −3 and 1, because y = −(x − 3)(x + 1).

The zeros are −1 and 3, because y = −(x − 1)(x + 3).

The zeros are −1 and 3, because y = −(x + 1)(x − 3).

The table of values for quadratic function g is shown. Which statement about function g is true?

The zeros are 1 and 3, because y = 2(x −1)(x − 3).

The zeros are 3 and 6, because y = (x − 3)(x − 6).

The zeros are 1 and 6, because y = (x − 1)(x − 6).

The zeros are −1 and −3, because y = 2(x + 1)(x + 3).

Algebra 1 EOC Category 4

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-IF.C.7A, HSA-REI.B.4B, 8.F.A.1

+4

Standards-aligned

Barbara White

Used 1+ times

FREE Resource

26 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which graph shows a function with a range of all real numbers greater than or equal to -3?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which statement about the function y = −x² − 2x − 1 is true?

The range is the set of all real numbers.

The domain is the set of all real numbers.

The range is the set of all real numbers less than −1.

The domain is the set of all real numbers less than −1.

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A quadratic function has a vertex of (−2, 5) and passes through the points (−4, −3) and (1, −13). What is the range of the function?

y ≤ 5

y < 5

y ≥ 5

y > 5

Tags

CCSS.HSF-IF.C.7A

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The graph shows the height of a brick in feet after it is dropped off the edge of a building. What is the domain of the function for this situation?

0 ≤ x ≤ 250

x ≤ 250

0 ≤ x ≤ 4.5

x ≤ 4.5

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which graph shows a minimum value of 4?

Tags

CCSS.HSF-IF.C.7A

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the vertex of the graph y = 2x² − 6x + 1?

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which graph shows a function with zeros of ⅓ and 5?

Tags

CCSS.HSF-IF.C.7A

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Algebra 1 EOC Category 4

26 questions

Which graph shows a function with a range of all real numbers greater than or equal to -3?

Which statement about the function y = −x² − 2x − 1 is true?

A quadratic function has a vertex of (−2, 5) and passes through the points (−4, −3) and (1, −13). What is the range of the function?

The graph shows the height of a brick in feet after it is dropped off the edge of a building. What is the domain of the function for this situation?

Which graph shows a minimum value of 4?

What is the vertex of the graph y = 2x² − 6x + 1?

Which graph shows a function with zeros of ⅓ and 5?

A town launches fireworks from a boat on the river to celebrate New Year's Day. The height of the fireworks above ground in meters can be represented by the function f(t) = −4.9t² + 39.2t + 1.6. If t represents the time in seconds, what is the maximum height the fireworks will reach?

What is the equation for the axis of symmetry for the function graphed below?

Quadratic function f(x) = x² is graphed on a coordinate plane. The graph of a new quadratic is formed by changing the vertex to (3, 0). Which function could represent the new quadratic?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Algebra 1 EOC Category 4

26 questions

Which graph shows a function with a range of all real numbers greater than or equal to -3?

Which statement about the function y = −x2 −﻿ 2x −﻿ 1 is true?

A quadratic function has a vertex of (−﻿2, 5) and passes through the points (−﻿4, −﻿3) and (1, −﻿13). What is the range of the function?

The graph shows the height of a brick in feet after it is dropped off the edge of a building. What is the domain of the function for this situation?

Which graph shows a minimum value of 4?

What is the vertex of the graph y = 2x² − 6x + 1?

Which graph shows a function with zeros of ⅓ and 5?

A town launches fireworks from a boat on the river to celebrate New Year's Day. The height of the fireworks above ground in meters can be represented by the function f(t) = −4.9t2 + 39.2t + 1.6. If t represents the time in seconds, what is the maximum height the fireworks will reach?

What is the equation for the axis of symmetry for the function graphed below?

Quadratic function f(x) = x2 is graphed on a coordinate plane. The graph of a new quadratic is formed by changing the vertex to (3, 0). Which function could represent the new quadratic?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which statement about the function y = −x² − 2x − 1 is true?

A quadratic function has a vertex of (−2, 5) and passes through the points (−4, −3) and (1, −13). What is the range of the function?

A town launches fireworks from a boat on the river to celebrate New Year's Day. The height of the fireworks above ground in meters can be represented by the function f(t) = −4.9t² + 39.2t + 1.6. If t represents the time in seconds, what is the maximum height the fireworks will reach?

Quadratic function f(x) = x² is graphed on a coordinate plane. The graph of a new quadratic is formed by changing the vertex to (3, 0). Which function could represent the new quadratic?