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 )

add an image

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.