Parabola is defined by the equation x2 = y. in which direction will the parabola open? a. up b. down c. right d. left e. cannot be determined

Option A: Up

Step-by-step explanation:

When we have a quadratic equation of the form:

y = ax^2 + bx + c  

The sign of "a" defines how the equation "opens"

This is because a is multiplicating the term that grows faster as x changes (the biggest power in the polynomial, x^2)

So if a is positive, as IxI grows, the value of y(x) will be also positive.

if a is negative, as IxI grows the value of y(x) will also be negative.

So here we have the equation y = x^2

here we have a = 1, b = 0 and c = 0.

Here "a" is positive, this means that the parabola will open up, so the correct option is A.

y=2x+7

Step-by-step explanation:

The slope of the new line is 2 because that is the opposite of -1/2

To find the equation of the line, plug the points (-2,3) into point-slope form:

y-y1=m(x-x1).

y-3=2(x+2)

Multiply (x+2) by 2 and simplify to get the final answer.

y-3=2x+4

y=2x+7