Rewriting Quadratic Functions to Standard Form

What is the name of this form of a quadratic equation: y = ax² + bx + c

• vertex form

• standard form

• factored form

• zero form

• x²+9

• x²-10x+9

• x²-10x-9

• x²+10x+9

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

Rewrite in standard form g(x) = (x + 4)²

• g(x) = x² + 16

• g(x)=x² + 8x + 8

• g(x)=x² + 8x + 16

• g(x)=x² + 8x + 4

Write the equation into standard form

Mathematical Equivalence

ON

Write the equation in standard form for the quadratic function using the table.

• x²-10x+25

• x²-10x+85

• -2x²-20x+10

• -2x²+20x+10

Rewrite in standard form:
y=(x-7)²

• y = x²-49

• y = x²+49

• y = x²-14x+49

• y = x²-14x-49

Rewrite in standard form.

g(x) = 5(x - 5)² + 3

• g(x)=x² - 10x + 28

• g(x)=5x² - 50x + 128

• g(x)=5x² - 10x + 25

Mathematical Equivalence

ON