Key Feature of the Graph of the Quadratic Function

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 minimum of this graph?

• (-2,6)

• (-0.5,-3.5)

• (-1,-3)

• (3,0)

Answer explanation

You just have to look at where the vertex is on the graph. The format is (x,y)

Tags

CCSS.HSF-IF.C.7A

How high was the ball when it was thrown? Choose the key feature and the answer.

• y-intercept, 0 feet

• y-intercept, 3 feet

• x-value of the vertex, 4

• y-value of the vertex 5

Answer explanation

Look for when the ball started its travel. That is the height on the y axis.

What key feature tells the lowest point on the roller coaster?

• y-intercept

• vertex

• Axis of Symmetry

• x-intercept

Answer explanation

WE have a lot of names for the same thing. BTW, it isn't Axis of Symmetry since that is the point of reflection for the graph, not just the vertex.

Tags

CCSS.HSF-IF.C.7A

Define Maximum

• The highest or lowest point on the graph

• The highest y-value on the graph

• The lowest y-value on the graph

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

Answer explanation

If the parabola opens down, then the top is the maximum.

Use the picture to find  the vertex and axis of symmetry

•  Vertex (3,8) Axis x=3

• Vertex (3,8) Axis y=3

• Vertex (8,3) Axis x=3

• Vertex (8,3) Axis y=3

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry?

• y = 2

• x = -4

• x = -2

• y = 0

Tags

CCSS.HSF-IF.C.7A

Name the vertex to the given quadratic graph

• (2,3)

• (3,2)

• (0,-1)

• (4,-1)