to find the value of (A) subtract the y-coordinate of the vertex from the y-value of the point he value of (A) SHOW YOUR WORK

Question

PART ONE::: to find the value of (A) subtract the y-coordinate of the vertex from the y-value of the point on the parabola that is one unit to the right of the vertex find the value of (A) SHOW YOUR WORK

 

PART TWO:::: WRITE THE EQUATION OF THE PARABOLA DESCRIBED

Answer 1

This sounds like the instructions on how to solve the problem. There should be a diagram that shows the coordinates of the point at the vertex (the bottom of the U) and the coordinates of the point that is +1 unit to the right of the vertex.

 

Let's suppose the vertex was at (4,3) and the point 1 unit to the right is (5,5).

 

The parabola cup points up, so we have a positive coefficient.  (5-3) = 2.

 

The formula for a parabola is 

 

y = coefficient times (x - vertex x)^2 + vertex y 

 

y = 2*(X-4)^2 + 3

 

which multiplies out to 

 

y = 2x^2 -16x +35

 

And then we check it

 

y for 4 =  2(16) -16(4) +35 = 32 - 64 + 35 = 3  check

y for 5 = 2(25) - 16(5) + 35 = 50 - 80 + 35 = 5 check

 

Voila!