Quadratic Equation from Graph Vertex

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 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

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

An equation that can be written in the form y = ax² + bx + c

• Quadratic equation

• MInimum

• Linear equation

• Maximum

Tags

CCSS.8.EE.C.7B

Mathematical Equivalence

OFF

Mathematical Equivalence

OFF

Tags

CCSS.HSF-IF.C.7A

What is the vertex of y=(x + 2)² - 1?

• (2,1)

• (-2,1)

• (0,0)

• (-2,-1)

The axis of symmetry for the function 2x²+8x+2 is x=-2. What is the vertex?

• (-2, -6)

• (-6, -2)

• (2, 6)

• (6, 2)

Find the vertex of the quadratic:
y = -2x² + 4x + 3

• (0, 3)

• (-1, 5)

• (1, 5)

• (1, -5)