Quadratic Equation from a Graph

Write a quadratic equation given the x intercepts and one other point.

Step 2: Find a.

Now that you know that the factors are (x-6) and (x-8), you must find a. Plug the coordinates of the vertex (7, 1) in for x and y and solve for a.

y = a(x-6)(x-8)

What is the value of a?

• a = 1

• a = -1

• a = 7

• a = -7

Review: What are the vertex and axis of symmetry for the given graph?

• Vertex (1, -4) Axis of Symmetry: x=1

• Vertex (1, -4) Axis of Symmetry x = -4

• Vertex (-4, 1) Axis of Symmetry x=-4

• Vertex (-4, 1) Axis of Symmetry x = 1

Which parabola would open down?

• f(x)=x²

• f(x)=-x²+3x-6

• f(x) = x²-16

• f(x)=2x²-5x+7

Tags

CCSS.HSF-IF.C.7A

Write a quadratic equation in vertex form given the vertex and another point.

• (x+1)²-4=y

• (x-1)²-4=y

• (x + 1)(x - 3)=y

• x2 +2x - 3=y

Use any method (graph, factor, complete the square, quadratic formula) to solve the function:

f(x)=x²-7x+10

• No solutions

• x=-2 and x=-5

• x=2 and x=5

• x = 2/5

Tags

CCSS.HSA-REI.B.4B

At what point does the axis of symmetry intersect a parabola?

• The y-intercept.

• The vertex.

• The x-intercept.

• The maximum.

Tags

CCSS.HSF-IF.C.7A

The name for the maximum or minimum point on a graph is?

• y-intercept

• x-intercept

• vertex

• axis of symmetry

The graph of a quadratic is called a?

• v shape

• u shape

• line

• parabola

Tags

CCSS.HSF-IF.C.7A

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

Is this a max or min?

• max

• min

• cannot be determined