Designing Parabolas

What do we call the graph of a quadratic function?

• parabola

• linear

• cubic

• sinusoidal

Tags

CCSS.HSF-IF.C.7A

What is the maximum/minimum of a parabola called?

• vertex

• point

• top

• bottom

How do you know if a parabola has a minimum vertex?

• When a is positive there is a minimum

• When a is negative there is a minimum

• When all the numbers in the equation are negative there is a minimum

• When all the numbers in the equation are positive there is a minimum

Tags

CCSS.HSF-IF.C.7A

The axis of symmetry is a line that goes through the...

• y-intercept

• any random point

• vertex

•  x-axis or y-axis

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Convert to vertex form.

• y=2(x+3)² - 9

• y=2(x-3)² - 9

• y=2(x+6)² - 9

• y=2(x-6)² - 9

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

What is the axis of symmetry for the following quadratic function: f(x)=1/2(x-4)²+3

• x=4

• x=-4

• x=1/2

• x=3

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)