Question

Write the quadratic function f(x) = x^2 - 5x + 3 in vertex form.
A)
f(x) = (x - 2.5)^2 + 3
B)
f(x) = (x + 2.5)^2 + 3
C)
f(x) = (x - 2.5)^2 - 3.25
D)
f(x) = (x + 2.5)^2 - 3.25

Answer 1

plz let me know how to solve this type of problem too plz

Answer 2

first coordinate of the vertex is found via
\[-\frac{b}{2a}\] in your case it is
\[-\frac{-5}{2\times 1}=\frac{5}{2}=2.5\] so you know it will look like
\[y=(x-2.5)^2+k\]

Answer 3

so find \(k\) notice that if you replace \(x\) by \(2.5\) you get
\[y=(2.5-25)^2+k=0+k=k\] so replace \(x\) by \(2.5\) in the original expression
\[y=x^2-5x+3\] and see what you get. that will be \(k\)

Answer 4

k hold on

Answer 5

-3.25

Answer 6

=k

Answer 7

right

Answer 8

Its C thank you!

Answer 9

yw