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Determine the equation of the graph and select the correct answer below.

choices:

a) y = (x + 2)^2 + 4
b) y = (x - 2)^2 - 4
c) y = -(x - 2)^2 - 4
d) y = -(x + 2)^2 - 4

Determine The Equation Of The Graph And Select The Correct Answer Below Choices A Y X 22 4 B Y X 22 4 C Y X 22 4 D Y X 22 4 class=

Sagot :

Answer:

d) [tex]y=-(x+2)^2-4[/tex]

Step-by-step explanation:

In order to quickly determine the equation of a parabola given its vertex, or the point that the line changes the direction it is going in, in generic form (h,k) (in this case, h = -2 and k = -4), we can plug our given points into the generic parabola equation [tex]y=(x-h)^2+k[/tex] in order to get its equation.

By plugging in -2 for h and -4 for k, we get our final answer, [tex]y=-(x+2)^2-4[/tex]

(Note that this equation is negative, as a normal parabola typically has its ends going up, not down. By making it negative, we essentially flip it upside down, accounting for this in the equation)

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