Question

5.
Question 11: Part B: Consider the function represented by y=−4(x−1)2+3
Choose the answers that correctly complete the sentence about the minimum or maximum value of the function. The function has a ______ value at (______, ______) (hint: there are three correct answers)


x=3

y=3

x=-3

y=-3

x=4

y=0

x=-1

x=-4

x=1

y=-1

y=-4

y=1

minimum

maximum

x=0

y=4

Answer 1

The function has a maximum at (1, 3).

_____
You know it is not a minimum because the coefficient of the squared term is negative.

You know the vertex is (1, 3) because you match the pattern to
.. y = a(x -h)^2 +k
which has its vertex at (h, k).