Question

4. Select all equations whose graphs have a y-intercept with a positive y-coordinate.
A. y = x^2 + 3x - 2
B. y = x^2 - 10x
C. y = (x - 1)^2
D. y = 5x^2 – 3x - 5
E. y = (x + 1)(x + 2)

Answer 1

The y-intercept of the equations of the functions is when the x = 0

The equations whose graphs have a y-intercept with a positive y-coordinate are C. y = (x - 1)^2 and E. y = (x + 1)(x + 2)

How to determine the positive y-coordinate?

Set the x to 0, to calculate the y-intercept.

So, we have:

A. y = x^2 + 3x - 2 = 0^2 + 3*0 - 2 = -2

B. y = x^2 - 10x = 0^2 - 10 *0 = 0

C. y = (x - 1)^2 = (0 - 1)^2 = 1

D. y = 5x^2 – 3x - 5 = 5*0^2 – 3*0 - 5 = -5

E. y = (x + 1)(x + 2) = (0 + 1)(0 + 2) = 2

Only functions C and E have positive y-coordinate

Hence, the equations whose graphs have a y-intercept with a positive y-coordinate are C. y = (x - 1)^2 and E. y = (x + 1)(x + 2)

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