Describing Quadratic Functions Transformation

Which parent function matches the graph?

• y = |x|

• y = ∛(x)

• y = x²

• y = a⋅b^x

Which of the following equations is a parabola (quadratic)?

• y = 2x + 4

• y = 2x³ + 4

• y = 2x² + 4

• y = 2^x

This graph belongs to which Function Family?

• Linear

• absolute value

• Quadratic

• square root

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

• Vertical Stretch by a factor of 2 and vertical shift up 4 units

• Vertical Compress by a factor 2 and vertical shift up 4

• Vertical Stretch by a factor of 2 and horizontal shift left 4 units

• Vertical Compress by a factor of 2 and horizontal shift right 4 units

If the yellow curve has equation f(x)=x²,

• Then the blue curve is f(x) = x² - c

• Then the blue curve is f(x) = (x+c)²

• Then the blue curve is f(x) = (x-c)²

• Then the blue curve is f(x) = x² + c

Which describes the transformation of the graph of f(x)=x²+2 to the graph of g(x)=(-3x)²+2

• A horizontal compression without reflection

• A horizontal stretch without reflection.

• A vertical compression without reflection

• A vertical stretch and a translation

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

• Vertical stretch by a factor of 5

• Vertical compress by a factor of 5

• Reflect over x-axis

• Vertical shift up 5 units

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical shift 4 units up

• a vertical shift 4 units down

• a horizontal shift 4 units to the left

• a horizontal shift 4 units to the right

Describe the transformation of
f(x) = x² -8 when compared to the parent function

• Vertical shift sp 8 units

• Vertical shift down 8 units

• Horizontal shift right 8 units

• Horizontal shift left 8 units

What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?

• f(x)= 3/5(x-8)²

• f(x)=3/5x²+8

• f(x)=x²

• f(x)=3/5x²-8