Transformations Vertex Form Standard Form Review

When a parabola opens "down" the vertex is known as a __________.

Convert the equation from vertex form to standard form.

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

How did we transform from the parent function?
y = x² + 2

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

When a parabola opens "up" the vertex is known as the _________.

Convert the equation y= x²-2x-5 into vertex form. 

• y= (x-1)²-6

• y= -(x-1)²-6

• y= (x+1)²-6

• y= -(x+6)²-1

Convert the equation y= x²+4x into vertex form. 

• y= (x+4)²-4

• y= (x-2)²+4

• y= (x+2)²-4

• y= (x+2)²

Which of the following equations is in vertex form?

• f(x) = x² + 6x - 2

• f(x) = (x - 1)² + 2

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Convert the equation
x²-12x+40
into vertex form

• (x+6)²-4

• (x+6)²+4

• (x-6)²-4

• (x-6)²+4