Question

What are the relative maximums of the function: f (x) = x²-3x + 5

Answer 1

(3/2,11/4)

Explanation

-b/2a to find the axis of symmetry

3/2= axis of symmetry

Then plug that in to find the vertex/maximum or minimum

3/2^2-3(3/2)+5

9/4-9/2+5

You can only add fractions with like denominators multiply 9/2(2/2) and 5(4/4)

So, 9/4-18/4+20/4

9/4-18/4= -9/4+20/4= 11/4

So the maximum is

(3/2, 11/4)