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:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

answer: idk

step-by-step explanation: