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finlep [7]
3 years ago
7

Write y=-3(x-7)^2-8 in vertex form

Mathematics
2 answers:
Veronika [31]3 years ago
7 0

It's in the verex form:

f(x)+a(x-h)^2+k\\\\(h,\ k)-vertex

y=-3(x-7)^2-8\\\\(7,\ -8)-vertex

GalinKa [24]3 years ago
4 0
<h2>Answer:</h2>
  • The given equation is already in vertex form.
  • The vertex is located  at (7,-8)
<h2>Step-by-step explanation:</h2>

We Know that a standard form of a quadratic equation is given by:

                  y=ax^2+bx+c

where a,b and c are real numbers

and the vertex form is given by:

                 y=a(x-h)^2+k------------------(1)

where the vertex of the function is at: (h,k)

Here we have the function as:

          y=-3(x-7)^2-8

We observe that the equation matches the equation as in equation (1) ; such that a= - 3, h=7 and k= -8

Hence, the equation is already in vertex form and the vertex is at (7,-8)

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Divide 36x^3-96x^2+48x by 12x
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Point G lies between points F and H on FH.
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2 years ago
Explain the steps necessary to convert a quadratic function in standard form to vertex form
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Answer:

See below.

Step-by-step explanation:

Here's an example to illustrate the method:

f(x) = 3x^2 - 6x + 10

First divide the first 2 terms by the coefficient of x^2 , which is 3:

= 3(x^2 - 2x) + 10

Now  divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form

(x - b/2)^2 - b/2)^2  (where b = 2) , which will be equal to x^2 - 2x in a different form.

= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x  + 1^2  and we have to make it equal to x^2 - 2x)

= 3 [(x - 1)^2 -1 ] + 10

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= <u>3(x - 1)^2 + 7 </u><------- Vertex form.

In general form the vertex form of:

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This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.

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