Key Features of Quadratics

Define X-intercept

• The highest or lowest point on the graph

• Where the parabola touches or intersects the x-axis

• Where the parabola touches or intersects the y-axis

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

Tags

CCSS.HSF-IF.C.7A

Define Axis Of Symmetry

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The highest y-value on the graph

• The highest or lowest point on the graph

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=1
• x=-1
• x=2

Find the vertex of 
f(x) = -x² - 4x + 12

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum
• opens up with a minimum
• opens down with a maximum
• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

What is the vertex of 
y = -2x² + 4x + 3.

• (-1, 4)
• (1, 5)
• (1, -5)
• (5, 1)

Find the vertex of 
f(x) = x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 8)
• (-2, 4)

All of the following is true to f(x) = -x² + 6x - 1 EXCEPT...

• The y-intercept is (0,-1).

• The minimum value is at y = -1.

• Its graph opens down.

• The axis of symmetry is x = 3.

Tags

CCSS.HSF-IF.C.7A

What is the y intercept for the equation:
y = -8x² + 3x - 7

• (0, -8)
• (0, 3)
• (0, 7)
• (0, -7)

Tags

CCSS.HSF-IF.C.7A

Does the graph have a maximum or minimum?

• maximum
• minimum
• neither
• both