What is f(x) = 2x2 + 28x – 5 written in vertex form?
Answers
Answered by
21
first of all we have to find vertex . if any quadratic equation is in the form of ax² + bx + c , then vertex = -b/2a
here f(x) = 2x² + 28x - 5
compare it with ax² + bx + c
a =2 , b = 28 and c = -5
then, vertex = -28/2 × 2 = -7
now, coverts equation like f(x) = (x - vertex)² + Constant
so, f(x) = 2x² + 28x - 5
= 2x² + 28x + 98 - 103
=2(x² + 14x + 49) - 103
= 2(x + 7)² - 103
now, you can see it is like f(x) = (x - vertex)² + Constant.
hence,f(x) = (x + 7)² - 103 is in vertex form.
here f(x) = 2x² + 28x - 5
compare it with ax² + bx + c
a =2 , b = 28 and c = -5
then, vertex = -28/2 × 2 = -7
now, coverts equation like f(x) = (x - vertex)² + Constant
so, f(x) = 2x² + 28x - 5
= 2x² + 28x + 98 - 103
=2(x² + 14x + 49) - 103
= 2(x + 7)² - 103
now, you can see it is like f(x) = (x - vertex)² + Constant.
hence,f(x) = (x + 7)² - 103 is in vertex form.
Answered by
16
Answer:
the answer is B
Step-by-step explanation:
because i just took the test on edginuity thats the explination
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