Quadratic Features and Equations

Find the axis of symmetry for f(x) = x² - 8x + 15.*Hint: Graph or use x=\frac{-b}{2a}

• x = -4

• x = 4

• y = 4

• y = -4

Which statement about the graph is FALSE?

• The vertex is (-3, 18)

• The vertex is a maximum

• The y-intercept is y = 0

• The axis of symmetry is y = -3

Tags

CCSS.HSF-IF.C.7A

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

Answer explanation

This is the definition of x-intercept

Tags

CCSS.HSF-IF.C.7A

Define Y-intercept

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

• The lowest y-value on the graph

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

Answer explanation

Definition of y-intercept

Tags

CCSS.HSF-IF.C.7A

Define Vertex

• Where the parabola touches or intersects the x-axis

• The highest or lowest point on the graph

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

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

Answer explanation

It is the more general name of either the minimum or maximum of a parabola

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

Answer explanation

It is the imaginary line that slices through the vertex and reflects one side of the parabola to the other side.

Define Roots

• Where the parabola touches or intersects the y-axis

• The lowest y-value on the graph

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

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

Answer explanation

Tags

CCSS.HSF-IF.C.7A

Match the following

• where the line touches the y-axis

• parabola

• cuts the parabola in half

• y-intercept

• the top or bottom of a parabola

• the zero

• x-intercept

• vertex

• a u-shape graph of quadratics

• axis of symmetry

Find the vertex of f(x) = -x^2 - 4x + 12. *Hint: Graph or use x=\frac{-b}{2a}

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)