The graph of a2+8a+16 is?

Question

a. a straight line
b. a vertical line
c. a parabola
d. decreasing

Answer 1

if the the first term is a-squared then it is a parabola since it a second order equation.

Answer 2

a² + 8a + 16

= (a + 4)²

You should already have seen that, since it's a 2nd degree polynomial, it must be a parabola. But, if you "simplify" the expression the way I did, you can find out exactly how to graph it by yourself easily. First, draw a standard parabola (y = x²). Then, move the entire parabola itself 4 units to the left.

Answer 3

First, you can factor the equation:

a2 + 8a +16 = 0
(a+4)(a+4) = 0

So, a = -4

When y = 0, then a will equal = - 4.

What if a is 0? then y will be 16.

This is a parabola because you have a positive exponent.

Regards,

Mysstere

Answer 4

Any equation that has a squared term as its highest power will be some kind of parabola.

A straight line is generally of the form y=mx+b or ax+by=c

A vertical line is x=some number

A decreasing graph can be lots of different things.

Hope this helps. Good Luck.

Answer 5

each and every time an equation has an exponent means of two or larger it does no longer be a instantly line, vertical line, or lowering so it would want to go away "parabola because the answer. answer: Parabola

Answer 6

c) a parabola

considering you are treating y as a function of a, i.e. y=a^2+8a+16

Answer 7

any 2nd degree polymer function is a parabola.

Answer 8

c. a parabola

Answer 9

c-a parabola

Answer 10

it would be B