Describe how to determine whether the parabola y = 3x2 + 3x + 6 is opening upward.

Step-by-step explanation:

Standard equation of parabola is:

The parabola is opening upward if a > 0 and opening downward if a < 0

The given parabola has a = 3 > 0, therefore it is opening upward

all it means is function 3

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is