Free Printable Unit 11C Test Corrections

1.

The graph of the quadratic function $f\left(x\right)=x^2$ was transformed to create the graph of $g\left(x\right)=\left(x+2\right)^2-5$ . Which graph represents g?

a)

b)

c)

d)

2.

The graph $f\left(x\right)=x^2$ was transformed to create the graph $g\left(x\right)=f\left(x\right)-9$ . Which statement about the graph is true?

a)

the graph of g is the reflection of the graph of f across the x-axis.

b)

the vertex of graph g is 9 units to the right of the vertex of the graph of f.

c)

the graph of g is the reflection of the graph of f across the y-axis.

d)

the y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

3.

What are the domain and range of $f\left(x\right)=-\frac{1}{4}\left(x-17\right)^2+61$ ?

a)

Domain: All real numbers

Range: $g\left(x\right)\le61$

b)

Domain: $x\le17$

Range: $g\left(x\right)\le61$

c)

Domain: All real numbers

Range: $x\le17$

d)

Domain: $g\left(x\right)\le61$

Range: $x\le17$

4.

What is the vertex of $y=-x^2-2x+3$ ?

a)

(1,4)

b)

(-1,4)

c)

(0,3)

d)

(3,0)

5.

The graph of quadratic function p is shown on the grid. If $k\left(x\right)=x^2$ and $p(x)=k(x)+n$ , what is the value of n?

a)

-3

b)

3

c)

-6

d)

6

6.

The graph of quadratic function f is shown on the grid. Which of these best represents the range of f?

a)

$-3\le x\le2$

b)

All real numbers

c)

$y\ge5.5$

d)

All real numbers less than −3 or greater than 2

7.

The graph of quadratic function f is shown on the grid. Which of these best represents the domain of f?

a)

$-3\le x\le2$

b)

All real numbers

c)

$y\ge5.5$

d)

All real numbers less than −3 or greater than 2

8.

How do the graphs of the function $f\left(x\right)=\left(x+3\right)^2$ and $g\left(x\right)=\left(x-5\right)^2$ relate to each other?

a)

g(x) is 8 units below f(x)

b)

g(x) is 8 units above f(x)

c)

g(x) is 8 units to the left of f(x)

d)

g(x) is 8 units to the right of f(x)

9.

Which statement about the graph is NOT true.

a)

The graph has a y-intercept of (0,-1)

b)

The graph is reflected across the x-axis.

c)

The graph is translated 2 units down.

d)

The graph is translated 1 unit to the right.

10.

The parent graph $f\left(x\right)=x^2$ has been transformed to create the graph above. What is the transformed function?

a)

$f\left(x\right)=\left(x-2\right)^2+1$

b)

$f\left(x\right)=\left(x+2\right)^2+1$

c)

$f\left(x\right)=\left(x-2\right)^2-1$

d)

$f\left(x\right)=\left(x+2\right)^2-1$

Unit 11C Test Corrections

Total questions: 10

Worksheet time: 5mins

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