Match each equation to the correct transformation.

Draggable item		Corresponding Item
Vertical shift down		$g(x)=(x+5)^{2}$
Vertical shift up		${g(x)=(x-5)}^{2}$
Vertical stretch		$g(x)=x^{2}+5$
Reflection over the x-axis		$g(x)=x^{2}-5$
Horizontal Shift left		${g(x)=2x}^{2}$
Horizontal shift right		$g(x)=\frac{1}{5}x^2$
Vertical compression		$g(x)=-x^{2}$

1

Describe the transformation(s) necessary to transform the graph of the function f(x)=x^{2} into the graph of each function g(x).

$g(x)=2x^{2}-5$

Vertical Shift:

Vertical Stretch:

Reflection:

Horizontal Shift:

Vertical Compression:

1

Describe the transformation(s) necessary to transform the graph of the function f(x)=x^{2} into the graph of each function g(x).

$g(x)=f(x+2)-3$

Vertical Shift:

Vertical Stretch:

Reflection:

Horizontal Shift:

Vertical Compression:

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by reflecting f(x) across the x-axis and then translating it 3 units up.

1

g(x)=

1

Which graph matches the given transformations?

null

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) to the left 5 units, reflecting it across the x-axis, and then translating it 2 units down.

1

g(x)=

1

Which graph matches the given transformations?

null

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) right 4 units, stretching it vertically by a factor of 6, and then translating it 1 unit up.

1

g(x)=

1

Which graph matches the given transformations?

null

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) left 6 units, compressing it vertically by a factor of 0.5, and then translating it 2 units down.

1

g(x)=

1

Which graph matches the given transformations?

null

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) right 4 units, reflecting it across the x-axis, dilating it vertically by a factor of 3, and then translating it 2 units down.

1

g(x)=

1

Which graph matches the given transformations?

null

1

Select all transformations that are required to transform f(x) to g(x).

null The graph is units translated

1

Select all transformations that are required to transform f(x) to g(x).

null

The graph is by a factor of

null

Lesson 7: Quadratic Function Transformations

Lesson 7: Quadratic Function Transformations

Match each equation to the correct transformation.

$g(x)=2x^{2}-5$

$g(x)=f(x+2)-3$

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by reflecting f(x) across the x-axis and then translating it 3 units up.

g(x)=

Which graph matches the given transformations?

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) to the left 5 units, reflecting it across the x-axis, and then translating it 2 units down.

g(x)=

Which graph matches the given transformations?

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) right 4 units, stretching it vertically by a factor of 6, and then translating it 1 unit up.

g(x)=

Which graph matches the given transformations?

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) left 6 units, compressing it vertically by a factor of 0.5, and then translating it 2 units down.

g(x)=

Which graph matches the given transformations?

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) right 4 units, reflecting it across the x-axis, dilating it vertically by a factor of 3, and then translating it 2 units down.

g(x)=

Which graph matches the given transformations?

Select the graph that matches the given equation. $f(x)=2x^{2}-2$

Match each equation to the correct transformation.

$g(x)=2x^{2}-5$

$g(x)=f(x+2)-3$

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by reflecting f(x) across the x-axis and then translating it 3 units up.

g(x)=

Which graph matches the given transformations?

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) to the left 5 units, reflecting it across the x-axis, and then translating it 2 units down.

g(x)=

Which graph matches the given transformations?

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) right 4 units, stretching it vertically by a factor of 6, and then translating it 1 unit up.

g(x)=

Which graph matches the given transformations?

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) left 6 units, compressing it vertically by a factor of 0.5, and then translating it 2 units down.

g(x)=

Which graph matches the given transformations?

Write an equation and select the graph that matches the function transformations given for ${f(x)=x}^{2}$

The graph of g(x) can be created by translating f(x) right 4 units, reflecting it across the x-axis, dilating it vertically by a factor of 3, and then translating it 2 units down.

g(x)=

Which graph matches the given transformations?

Select the graph that matches the given equation. $f(x)=2x^{2}-2$

Select the graph that matches the given equation.
$f(x)=2x^{2}-2$

Select the graph that matches the given equation.
$f(x)=2x^{2}-2$