Convert the following quadratics from standard form to vetex form, then graph them.1. y=x^2+6x+52. y= -x^2-6x-7

1.  y = (x + 3)² - 4

Step-by-step explanation:

Vertex format is: y = a(x - h)² + k

y = x² + 6x + 5

y - 5 = x² + 6x       subtracted 5 from both sides

y - 5 + = x² + 6x +    completed the square

y + 4 = (x + 3)²        simplified

y = (x + 3)² - 4        subtracted 4 from both sides

Equation is now in vertex form!

To graph the equation, plot the following points:

2.  y = -(x + 3)² + 2

Step-by-step explanation:

Vertex format is: y = a(x - h)² + k

y = -x² - 6x - 7

y + 7 = -x² - 6x       added 7 to both sides

-y - 7 = x² + 6x         divided both sides by -1

-y - 7 + = x² - 6x +    completed the square

-y + 2 = (x + 3)²        simplified

y - 2 = -(x + 3)²        divided both sides by -1

y = -(x + 3)² + 2        subtracted 4 from both sides

Equation is now in vertex form!

To graph the equation, plot the following points:

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