Solving Quadratics Transformations

Move the correct answer to each box. Not all answers will be used. ( (a)   , ​ (b)   )

• 3

• -9

• -3

• 0

• 9

Tags

AI.9.7.C

Which graph will be the most vertically stretched compared to the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6

The graph shown here has _________.

• one real solution

• two real solutions

• infinitely many solutions

• no real solutions

If there is only one zero of a quadratic function located at (3.5, 0), what is the equation of the axis of symmetry?

• x = 7

• x = 3.5

• y = 0

• x = 0

• cannot be determined from this information

Tags

CCSS.HSF-IF.C.7A

If a quadratic equation has 2 solutions, they will be equal distance from the axis of symmetry.

• TRUE

• FALSE

Tags

CCSS.HSF-IF.C.7A

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function f(x)= x² g(x)= (x+2)² − 3

• Moved 3 to the right and 2 up

• Moved 2 to the left and 3 down

• Stretched by a factor of 3 and moved 2 to the left

• Compressed (shrunk) by a factor of 2 and moved 3 down

• F

• G

• H

• J

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

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

How did we transform from f(x) =x² to g(x) = -3x²

• reflection in x-axis and vertical shift down

• reflection in x-axis and vertical stretch

• horizontal stretch

• reflection in x-axis and vertical compression

If the blue graph is

f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²