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3 years ago

9

PLS HELP ! 100 POINTS!!!!! Select the correct answer. This graph represents a quadratic function. What is the value of a in the

function’s equation?

2 answers:

Serga [27]3 years ago

6 0

Answer:

a = 3

Step-by-step explanation:

The vertex form of a quadratic is

y = a(x-h) ^2 +k where ( h,k) is the vertex

the vertex is (-2,2)

y = a(x- -2) ^2 +2

y = a(x+2) ^2 +2

Pick another point on the graph to determine a

(-1,5) and substitute into the equation

5 = a( -1+2) ^2 +2

5 = a(1)^2 +2

5 = a(1) +2

Subtract 2 from each side

5-2 = a+2-2

3 = a

irinina [24]3 years ago

4 0

Answer:

a=3

Step-by-step explanation:

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3 years ago

The inches of rainfall in the rainforest is represented by the function f(x) = 3(x-2)+ 4. What is the average rate of change bet

nata0808 [166]

Answer:

The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>

Step-by-step explanation:

Given function representing inches of rainfall:

$f(x)=3(x-2)+4$

To find the average rate of change between the 2nd year and the 6th year.

Solution:

The average rate of change between interval $[a,b]$ is given as :

$\frac{f(b)-f(a)}{b-a}$

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Thus, average rate of change will be:

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⇒ $\frac{12}{4}$

⇒ $3$

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2 years ago

Which values for x and y make the statement (x + 5)(y - 6) = 0 true?

-BARSIC- [3]

<span> $||Solving \ for \ x. ||$ </span>

$(x + 5)(y - 6) = 0$

$(x + 5)(y - 6) = 0 :x$

$
x+5=0
 
$ $|Divide \ both \ sides \ by \ y-6|$

$
x=-5
 
$ $|Subtract \ 5 \ from \ both \ sides|$

$||Solving \ for \ y. ||$

$
y-6=0
 
$ $|Divide \ both \ sides \ by \ x+5|$

$
y=6
 
$

$Solution =\ \textgreater \ x = -5, y = 6$

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3 years ago