4.2 Graphing Quadratics Using Vertex and Intercept Forms

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
• Axis of Symmetry
• Direction (facing up or down)
• x-intercept

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

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.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.IF.C.7

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

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following is the correct equation for the given graph?

• f(x) = -(x + 2)² - 4
• f(x) = -(x - 2)² - 4
• f(x) = -3(x - 2)² - 4
• f(x) = -3(x + 2)² - 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which equation is graphed above?

• $y=-\left(x-1\right)^2+4$

• $y=\left(x-1\right)^2+4$

• $y=-\left(x-4\right)^2+1$

• $y=\left(x-4\right)^2+1$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

 $f\left(x\right)=-\left(x-4\right)^2+1$  

Choose the correct graph of the equation.

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7