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Category 4 Quiz

Total questions: 9

Worksheet time: 45mins

Name
Class
Date
1.

What is the vertex of the graph of the quadratic function f(x) = x2+6x+10?

a)

(3, -1)

b)

(-3, -1)

c)

(-3, 1)

d)

(3,1)

2.

What is the range of f(x) = x2+1

a)

All real numbers

b)

All real numbers greater than or equal to 0

c)

All real numbers greater than or equal to 1

d)

All real numbers less than or equal to 1

3.

What are the solutions to the equation x2 - 4x = -1

a)
b)
c)
d)
4.

What is the solution set for the quadratic equation x2-16 = 0

a)

{4}

b)

{-4,4}

c)

{256}

d)

{-256, 246}

5.

A quadratic function is graphed on the grid. If this function is written in the form y = a(x -h)2 + k, what is the value of a?

a)

-3

b)

-8

c)

5

d)

2

6.

Hank wants to build a rectangular pigpen using 12 linear yards of fencing. The possible area in square yards, A, for this pigpen is described by the function A = w(6 - w), where w represents the width in yards of the rectangular pen. The graph of the function is shown. Determine the range of the graph.

a)

0 < x ≤ 9

b)

0 ≤ y ≤ 9

c)

0 < x < 6

d)

0 < y ≤ 9

7.

Which statement about the quadratic functions is false?

a)

The graph of two of these functions have a minimum point.

b)

The graph of all these functions have the same axis of symmetry.

c)

The graphs of two of these functions do not cross the x-axis

d)

The graphs of all these functions have different y-intercepts.

8.

Which statement about the quadratic equation is true?

a)

The equation has x = 4 as its only solution.

b)

The equation has no real solutions.

c)

The equation has x = 4 and x = -4 as its only solutions.

d)

The equation has an infinite number of solutions.

9.

The graphs of f(x) and g(x) are shown on the grid. Which statement is true about the parabolas?

a)

Graph g(x) is a vertical translation of graph f(x).

b)

Graph g(x) is a horizontal translation of graph f(x).

c)

Graph g(x) is a horizontal compression of graph f(x).

d)

Graph g(x) is a vertical compression of graph f(x).