Quadratic Roots Vertex Axis

What are the roots of the quadratic function shown here?

• {0, 3}

• {3}

• {0, -3}

• None

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Which of the following are true about the quadratic function shown? (You can choose more than one answer)

• There are two roots

• the axis of symmetry is at x = -2

• the vertex is a maximum

• the vertex is (-2, 0)

Tags

CCSS.HSF-IF.C.7A

Which equation best represents the axis of symmetry for the quadratic function shown?

• x = 6

• y = 6

• x = 2

• y = 2

Match each quadratic equation to its vertex

• (3, -5)

• f(x) = (x - 3)² + 5

• (3, 5)

• h(x) = (x - 3)² - 5

• (-5, -3)

• j(x) = (x - 5)² + 3

• (-3, 5)

• g(x) = (x + 3)² + 5

• (5, 3)

• y = (x + 5)² - 3

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

What is the vertex and what does it represent?

• (80, 1.5) At 80 seconds, the ball reaches a maximum height of 1.5 feet

• (0, 37) At 0 seconds, the ball was thrown from a height of 37 feet.

• (1.5, 80) At 1.5 seconds the ball reaches a maximum height of 80 feet

• a

• h

• k

• x

• y

Tags

CCSS.HSF-IF.C.7A

What is the vertex of the quadratic function shown?

• (5, 5)

• (-5, -5)

• (2, 0)

• (0, -2.5)

What is the equation for the axis of symmetry for the quadratic function shown?

• y = -3

• x = -3

• x = 5

• y = 5

Tags

CCSS.HSF-IF.C.7A

What is the range of the function shown?

• y < -1

• y > -1

• y ≥ -1

• y ≤ -1

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5