Graphs of Quadratic Equations

Use the graph to determine the X-intercepts

• (-1,0) and (-3,0)

• (1,0) and (3,0)

• (0,1) and (0,3)

• (0,-1) and (0,-3)

Tags

CCSS.HSF-IF.C.7A

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Tags

CCSS.HSF-IF.C.7A

Which of the following quadratic equations is represented by the graph?

• -(x-2)²+3=0

• (x-2)²+3=0

• -(x+2)²-3=0

• (x+2)²-3=0

Tags

CCSS.HSF-IF.C.7A

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

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

What is the range of this function?

• R: (- ∞,+∞)

• R: [0, +∞)

• R: [-2, +∞)

• R: [2, +∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the decreasing interval on the function shown?

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The x-intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Which parabola would open down?

• f(x)=x²

• f(x)=-x²+3x-6

• f(x) = x²-16

• f(x)=2x²-5x+7

Tags

CCSS.HSF-IF.C.7A

Which equation could match the graph?

• y = 1/3(x + 1)(x + 4)

• y = 1/3(x - 1)(x - 4)

• y = 1/3(x - 4)(x - 4)

• y = 1/3(x + 2.5)(x + 4)

Tags

CCSS.HSF-IF.C.7A

Identify the vertex.

• (-2.5, 2.5)
• -6
• (-6, 0)
• (0, -6)