Match Graph to Quadratic Equation

How do the graphs of the functions
f(x) = x² + 9 and
g(x) = x² – 11 relate to each other?

• The graph of f(x) is 2 units above the graph of g(x).

• The graph of f(x) is 20 units above the graph of g(x).

• The graph of f(x) is 2 units to the right the graph of g(x).

• The graph of f(x) is 20 units to the right the graph of g(x).

Which of the following functions of the form
y = ax² produces the narrowest graph   and opens upward?

• y = 1/4x²

• y = -4x²

• y = -1/4x²

• y = 4x²

How would the graph of the function y = x² + 4 be affected if the function were changed to y = x² + 1?

• The graph would shift 3 units up.   

• The graph would shift 3 units down.

• The graph would shift 3 units right.   

• The graph would shift 3 units right.

Which equation could match the graph?

• y = (x + 1)(x + 4)

• y = (x - 1)(x - 4)

• y = (x - 4)(x - 4)

• y = (x + 2.5)(x + 4)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Tags

CCSS.HSF-IF.C.7A

Write a quadratic equation given the x intercepts and one other point. Step 1: Write the factors. The 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)

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

What do you call the graph of quadratic functions?

• hyperbola

• parabola

• vertex

• ellipse

Tags

CCSS.HSF-IF.C.7A

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

Identify the y-intercept.

• (0,3)

• (3,0)

• (1,0)

• (2,-1)

Tags

CCSS.HSF-IF.C.7A