Question

Compare 𝑓⁡(𝑥)=−𝑥^2+6⁢𝑥−15 to the quadratic function g(x) shown in the table. Which function has the greater maximum? 1 of 1.
Select Choice



x g(x)
−6 −26
−3 −11
0 −2
3 1
6 −2

Answer 1

Both are downward-opening quadratics with their vertices at x = 3.

- For f, vertex x = -b/(2a) = -6/(2·-1) = 3, and f(3) = -(3)^2 + 6·3 − 15 = -9 + 18 − 15 = -6.
- From the table g(0) = g(6) = -2, so the axis is x = 3 and g(3) = 1 (the largest table value), so the maximum of g is 1.

Since 1 > -6, g(x) has the greater maximum (by 7).