$\text{The vertex form of a parabola}\\\\y=a(x-h)^2+k\\\\\text{We have the vertex}\ (-2,\ 5)\to h=-2,\ k=5.\\\\\text{Substitute}\\\\y=a(x-(-2))^2+5=a(x+2)^2+5\\\\\text{We have the point}\ (5,\ -4).\\\text{Substitute the coordinates of the point to the equation:}\\\\-4=a(5+2)^2+5\\\\-4=a(7)^2+5\\\\-4=49a+5\qquad|-5\\\\-9=49a\qquad|:49\\\\a=-\dfrac{9}{49}\\\\Answer:\ \boxed{y=-\dfrac{9}{49}(x+2)^2+5}$

5 0

4 years ago

What is the constant term for -2a3b2+5ab5+7b4+8

stiv31 [10]

Hey there!

Constant terms are the terms where no variables are there (only the constant, i.e, the number). So, here the term 8 is the constant term because it doesn't have any variables.

Hope it helps ya!

8 0

3 years ago

At its highest point, the elevation of a country is 5,762 feet above sea level. At its lowest point, the elevation of the countr

GalinKa [24]

Answer:

Step-by-step explanation:

5,762 - (-8)

3 0

3 years ago

Jared wants a quick trip by bus or train to New York. The bus’s average speed is shown in the graph. The train’s average speed i

Lelechka [254]

The bus travels 15 miles more per hour than the train.

4 0

3 years ago

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