Answer: C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (3, - 0.5), thus
y = a(x - 3)² - 0.5
To find a substitute either of the x- intercepts into the equation.
Using (4, 0), then
0 = a(4 - 3)² - 0.5 = a - 0.5 ( add 0.5 to both sides )
a = 0.5
y = 0.5(x - 3)² - 0.5 ← equation of quadratic function
