Transformation of Quadratics Using Function Notation

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

• stretch

• compress

f

g

e

d

• compress

• stretch

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

Describe the transformation from g(x) to d(x)

g(x) = x^2 - 5

d(x) = (-x)^2 - 5

• Flip over x - axis

• Flip over y - axis

• Down 1

• Left 1

Write a quadratic function that represents a parabola that opens downward and has -intercepts (-5 , 0) and (1 , 0).

• y = (x + 5)(x - 1)

• y = (x - 5)(x - 1)

• y = - (x + 5)(x - 1)

• y = - (x - 5)(x - 1)

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)²

• shifted up five units

  reflection in x-axis

• shifted down five units

  reflection in x-axis

• shifted left 5 units

  reflection x-axis

• shifted right 5 units

  reflection x-axis

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 equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5