State whether there is a maximum or a minimum
f(x)=5-x^2+2x

maximum

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0), then

• If a > 0 then minimum value

• If a < 0 then maximum value

Given

f(x) = 5 - x² + 2x = - x² + 2x + 5 ← in standard form

with a = - 1 < 0

Thus f(x) has a maximum value

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96

step-by-step explanation: