Solving Quadratics Transformations

What is the range of this quadratic function?

• y > -8

• y < -8

• x = all real numbers

• y = all real numbers

Based on this table of values of a quadratic function, what is the VERTEX?

• (-4, 0)

• cannot be determined

• (-1, -9)

• (0, -8)

Using the graph of y = -1.5x² + 12x - 23 shown here, what are the values of x when y = -5?

• x = 4

• x = 2, 6

• x = 3.2, 4.8

• cannot be determined on the graph

Describe the transformations from f(x) = x² to g(x) = -0.3x² + 4

• vertical compression and shift up

• reflection over x-axis, vertical compression, and shift up

• reflection over x-axis, vertical stretch, and shift up

• vertical stretch and shift down

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

• compress

• stretch

a

b

c

d

e

reflected

down

left

right

up

• compress

• stretch

a

b

c

d

Vertical Translation

Horizontal Translation

Horizontal Dilation

Vertical Dilation

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

Tags

AI.9.6

• compress

• stretch