Put Equation in Vertex Form

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

Given this directrix and vertex, what would the equation of the parabola be?

• (y-2)² = 12(x-1)

• (y-2)² = 6(x-1)

• (x-1)² = 12(y-2)

• (x-1)² = 6(y-2)

What should replace the blue square in the equation?

• -8y

• -2y

• +2y

• +8y

Convert to vertex form.

• y=3(x+1)² - 8

• y=3(x-1) ² - 8

• y=3(x+2)² - 8

• y=3(x-2)² - 8

Given the graph, write the equation of the quadratic in vertex form. (start with y=)

Mathematical Equivalence

OFF

Write a quadratic equation in vertex form that can be represented by the graph that has a vertex at (3, 8) and passes through the point (2, 6) ? Enter the answer in VERTEX FORM.

Mathematical Equivalence

ON

Mathematical Equivalence

OFF

• -1/2

• +

• 4

• 3

• 2

• 1/2

• -

• 5

• 0

Write the equation of the quadratic in VERTEX FORM given a=2 and the vertex (-2, 5).

Mathematical Equivalence

ON

Write a quadratic equation in vertex form that can be represented by the graph that has a vertex at (3, 8) and passes through the point (2, 6) ?

Enter the answer in VERTEX FORM.

Mathematical Equivalence

ON