Parent Graph Quadratics

The vertex of this graph is a

• maximum

• minumum

Which of the following equations shows the vertex form of a quadratic?

• x = -b/2a

• x = (-b ±√b² - 4ac)/2a

• y = ax² + bx + c

• y = a(x - h)² + k

Does the quadratic have a max/min vertex, and does the graph open up/down?

• max/ opens down

• min/ opens up

• max/ opens up

• min/ opens down

• F

• G

• H

• J

• 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

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

Does the graph of this equation widen or narrow from the parent function?
y=  5(x - 5)² + 3

• widen

• narrow

• neither