Attributes of a Parabola

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

What is the vertex of

y = x² + 4x + 3 ?

(hint: graph it)

• (2, 1)

• (-2, 1)

• (0, 0)

• (-2, -1)

What's the maximum/minimum?

• Minimum: (-3, -4)

• Minimum: (-4, -3)

• Maximum: (-3, -4)

What is the axis of symmetry of

y = 2x² - 4x + 9 ?

• x = 1

• x = -1

• x = -2

• (1, 7)

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• x-intercept

A parabola has a vertex at (5, -3).

Where is the axis of symmetry?

• y = -3

• x = -3

• x = 5

• (5, -3)

What is the vertex of this parabola?

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

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• - 4

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

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

The axis of symmetry of this parabola is...

• y=4
• y=-4
• x=4
• x=-4

Tags

CCSS.HSF-IF.C.7A