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Lorico [155]
3 years ago
11

Which statement about the graph of the function f(x)=2x^2-x-6 are true?

Mathematics
2 answers:
Snezhnost [94]3 years ago
7 0
C the vertex of the function
ella [17]3 years ago
6 0

Answer:

<h2>C. The vertex of the function is [(1/4)-6(1/8)]</h2>

Step-by-step explanation:

The given function is

f(x)=2x^{2} -x-6

This function is a quadratic function.

Its domain is always all real number.

Its range is determined and restricted by its vertex, that is, it can't be all real numbers.

The vertex has coordinates (h,k), where

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

Having a=2, b=-1, c=-6

Replacing these values, we have

h=-\frac{b}{2a}=-\frac{-1}{2(2)}=\frac{1}{4}

Then, k=f(h), that is, we need to replace the value we found

f(x)=2x^{2} -x-6\\f(\frac{1}{4})=2(\frac{1}{4} )^{2}  -\frac{1}{4}-6=\frac{2}{16}-  \frac{25}{4}=\frac{2-100}{16}\\  k=\frac{-98}{16} =-6\frac{1}{8}

Therefore, the right answer is C. The vertex of the function is [(1/4)-6(1/8)]

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