Identify the vertex and the y-intercept of the graph of the function. y = 0.5(x – 3)2

y intercept = (0,-3)

There is no vertex because it is a linear line no a parabola.

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

see explanation

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

y = 0.5(x - 3)² ← is in vertex form

with h = 3 and k = 0, thus

vertex = (3, 0)

To find the y- intercept let x = 0 in the equation

y = 0.5(0 - 3)² = 0.5(- 3)² = 0.5 × 9 = 4.5, thus

y- intercept = (0, 4.5 )

its a straight line parallel to the time axis