Quadratic Equation from Vertex and a Point

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

The highest or lowest point on the parabola

• Parabola

• Domain

• Vertex

• Range

If "a" from y = ax² + bx + c is positive, then the vertex is the lowest point on the graph.

• Minimum

• Vertex

• Maximum

• Parabola

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

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-1,4); point (1,0)

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (5,12); point (7,15)

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

• y = 6(x + 5)² + 9

• y = -6(x - 5)² + 9

• y = 6(x - 5)² + 9

• y = -6(x + 5)² + 9

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-1,4); point (1,0)

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,-1); point (0,3)

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-2,-2); point (-3,0)