Transformations of Quadratic Functions

• Horizontal shift to the right 2.5 units

• Horizontal shift to the left 2.5 units

• Vertical shift down 2.5 units

• Vertical shift up 2.5 units

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Which parabolas are wider than the Quadratic Parent Function?

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The parent function, f(x), is transformed so that it maps into g(x). Which equation would correctly represent g(x)?

• g(x)=f(x - 3)

• g(x)=f(x + 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2

Label how each number transforms the function

b

c

d

e

Left 3

Moves up 7

Reflected over the x-axis

Right 3

Stretched by a factor of 2

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²

Describe the Transformation of the function; ​ (a)  

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Reflection over the X-Axis

• Vertical Shift DOWN

• Vertical Shift UP

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a

b

c

d

"a" causes the parabola to vertically ​ (a)   when a < 1.

• compress

• stretch