Find the equation of the parabola which has the given vertex V, which passes through the given point P, and which has the specified axis of symmetry. V(4,−2),P(2,14), vertical axis of symmetry.

or

Step-by-step explanation:

Given

--- vertex

--- point

Required

The equation of the parabola

The equation of the parabola is of the form

Where

---- the vertex

So, we have:

In , we have:

Substitute in

Collect like terms

Divide both sides by 4

So:

becomes

Open bracket to express the equation in standard form

dwe

step-by-step explanation:

ewd

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