Converting Between Quadratic and Vertex Forms

Which of the following is Vertex Form?

What is the vertex form of this quadratic?

• f(x) = -(x - 2)² + 0

• f(x) = (x - 2)² + 0

• f(x) = -(x + 2)² + 0

• f(x) = (x + 2)² + 0

Convert to Vertex Form: f(x) = x² +8x +14

• f(x) = (x - 4)² + 2

• f(x) = (x - 4)² - 2

• f(x) = (x + 4)² + 2

• f(x) = (x + 4)² - 2

Convert to Vertex Form

y = x² - 6x + 10

• y = (x + 3)² - 1

• y = (x - 3)² + 1

• y = (x + 6)² - 10

• y = (x - 6)² + 10

Convert to vertex form.

• y=-(x-5)² + 21

• y=-(x+5)² + 21

• y=-(x+10)² + 21

• y=-(x-10)² + 21

How would you write this equation in vertex form?

• f(x) = (x + 1) (x -3)

• f(x) = (x - 1) (x + 3)

• f(x) = (x + 1)² + 4

• f(x) = (x - 1)² -4

Match the following set ups to their corresponding vertex form

• y+10+__=

  x^2+14x+__

• y-17+25=(x-5)^2

• y+17+__=

  x^2+10x+__

• y+17+25=(x+5)^2

• y-10+__=

  x^2-14x+__

• y+10+49=(x+7)^2

• y-17+__=

  x^2-10x+__

• y-17+49=(x-7)^2

• y-17+__=

  x^2-14x+__

• y-10+49=(x-7)^2

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

Change to vertex form:

y= x² -10x +1

Mathematical Equivalence

OFF

Write the quadratic function in vertex form:

Mathematical Equivalence

ON