Graphing Quadratic Functions in Vertex Form

What do we call the graph of a quadratic function?

• parabola
• linear
• cubic
• sinusoidal

Tags

CCSS.HSF-IF.C.7A

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

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What piece of information does h identify in the following equation?

y = a(x - h)² + k

• y value of the vertex

• x value of the vertex

• Direction (facing up or down)

• x-intercept

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What piece of information does k identify in the following equation?

y = a(x - h)² + k

• y value of the vertex

• x value of the vertex

• Direction (facing up or down)

• x-intercept

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.BF.B.3

What is the vertex of the function   y = (x - 3)² + 5

• (-3, 5)
• (3, -5)
• (-3, -5)
• (3, 5)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Given the equation for this parabola:

y = - (x - 4)²- 3,

does this parabola have a maximum or minimum value?

• Maximum

• Minimum

• Not enough information

Tags

CCSS.HSF-IF.C.7A

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

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.B.4

What is the vertex of the following equation? $f\left(x\right)=-\frac{1}{2}\left(x-5\right)^2+6$  

•  $\left(-5,-6\right)$  

•  $\left(-5,6\right)$  

•  $\left(5,-6\right)$  

•  $\left(5,6\right)$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex of this parabola?

• (−1, 3)
• (−3, 11)
• (−2, 5)
• (0, 5)

Tags

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.A.2