Question

Rafael wants to graph the equation
y
=
−
16
x
2
+
32
x
+
7
to represent the height of an object over time.



Which statement describes his graph?



A.
His graph should open upward and cross the
y
-axis at
7
.

B.
His graph should open downward and cross the
y
-axis at
7
.

C.
His graph should open upward and have a minimum value of
7
.

D.
His graph should open downward and have a maximum value of
7
.

Answer 1

B. The coefficient of x^2 is −16 (negative), so the parabola opens downward, and f(0)=7 so it crosses the y-axis at 7.