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Which of the following could be the equation of the graph below? See graph below select the answer

Which of the following could be the equation of the graph below? See graph below select-example-1
User Nomoa
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1 Answer

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ANSWER


y = 2( {x - 4)}^(2) - 3

Step-by-step explanation

The function equation of a parabola that opens up in vertex form is given by


y = a( {x - h)}^(2) + k

where (h,k) is the vertex and 'a' is the leading coefficient.

The given graph is a parabola that opens up and has its vertex at (4,-3).

This implies that, h=4 and y=-3

We substitute these values into the vertex form to obtain,


y =a( {x - 4)}^(2) + - 3

This simplifies to,


y =a( {x - 4)}^(2) - 3

The graph also contains (3,-1). We plug x=3 and y=-1 into the equation to find the value of 'a'.


- 1=a( {3 - 4)}^(2) - 3


- 1 + 3 = a( { - 1})^(2)


2 = a

We substitute this value to get:


y = 2( {x - 4)}^(2) - 3

The last choice is correct.

User Scott Bussinger
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