Express the function y = 2 x 2 + 8 x + 1 in vertex form.

y = 2(x + 2)² - 7

Step-by-step explanation:

y = 2x² + 8x + 1

= 2x² + 8x + 8 - 8 + 1

= 2(x² + 4x + 4) - 8 + 1

= 2(x + 2)² - 7

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116