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PIT_PIT [208]
3 years ago
14

Write the equation of the function whose graph is shown.

Mathematics
2 answers:
sammy [17]3 years ago
8 0

Answer:

y=1(x-5)^2 + 3

Step-by-step explanation:

Given : from the graph vertex is (5,3)

Also graph passes through point (8,12)

We use vertex form of quadratic equation

General vertex form is

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

vertex is (5,3)

h= 5 and k =3

So equation becomes y=a(x-5)^2 + 3

Now we need to find out 'a'

We use (8,12) to find out 'a'

Plug in x=8 and y = 12

12=a(8-5)^2 + 3

12=a(3)^2 + 3

12= 9a + 3

subtract 3 on both sides

9 = 9a

divide both sides by 9

so a=1

Final equation is

y=1(x-5)^2 + 3

ivann1987 [24]3 years ago
5 0
Looks like (5, 3) is the vertex, and the graph passes through the point (8, 12)
y=a(x-5)^2+3
Next, use y=12 when x=8 to find out the value of a:
12=a(8-5)^2+3 => a=1
so y=(x-5)^2+3
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Step by step solution :

STEP

1

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STEP

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Pulling out like terms

2.1     Pull out like factors :

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STEP

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Equation at the end of step 3

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STEP

4

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Equation at the end of step

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