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DochEvi [55]
11 months ago
5

determine the maximum or minimum of the quadratic function. express your answer in the form (x,y) and using decimals rounded to

the hundredths.f(x)=2x^2+7-10
Mathematics
2 answers:
kolezko [41]11 months ago
7 0

We are given the following quadratic equation

f(x)=2x^2+7x-10

The vertex is the maximum/minimum point of the quadratic equation.

The x-coordinate of the vertex is given by

h=-\frac{b}{2a}

Comparing the given equation with the general form of the quadratic equation, the coefficients are

a = 2

b = 7

c = -10

h=-\frac{b}{2a}=-\frac{7}{2(2)}=-\frac{7}{4}=-1.75

The y-coordinate of the vertex is given by

\begin{gathered} f(x)=2x^2+7x-10 \\ f(-1.75)=2(-1.75)^2+7(-1.75)-10 \\ f(-1.75)=2(3.0625)^{}-12.25-10 \\ f(-1.75)=6.125^{}-12.25-10 \\ f\mleft(-1.75\mright)=-16.13 \end{gathered}

This means that we have a minimum point.

Therefore, the minimum point of the given quadratic equation is

(-1.75,-16.13)

krek1111 [17]11 months ago
3 0

Answer:

Exact Form:x=±√6/2

Decimal Form:x=1.22474487,−1.22474487

Step-by-step explanation:

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