Quadratic Equation from Graph

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

Step 3: Write the equation in factored form.

Now, you know that the factors are (x-6) and (x-8) and a = -1. Write the equation of the graph in factored form.

• -(x-6)(x-8)

• -(x+6)(x+8)

• (x-6)(x+8)

• (x+6)(x-8)

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

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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

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

Put the steps together.

1. Find the factors.
2. Solve for a by substituting in the extra point.
3. Write the equation in factored form.

The roots of the function are (-3, 0) and (5, 0).

The point (4, -3) is also on the graph.

• y=4(x+3)(x-5)

• y=3/7(x-3)(x+5)

• y=-3(x-3)(x+5)

• y=3/7(x+3)(x-5)

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

1. Substitute the coordinates of the vertex (1, -4) in for h and k.

Vertex form: y=a(x-h)²+k

• (x+1)²-4=y

• (x-1)²-4=y

• (x + 1)(x - 3)=y

• x2 +2x - 3=y

What is the vertex?

• (0, - 1)

• (0, 0.5)

• (-1, 0)

• (0.5, 0)

What shape is the graph of a quadratic function?

• U shaped.

• V shaped.

• Linear.

• C shaped.

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

What is the equation of the axis of symmetry?

• y = 4

• y = -4

• x = 4

• x = -4

Tags

CCSS.HSF-IF.C.7A