Question

If y = ax² + bx + c is the general form of a quadratic function, what is y = a(x - h)² + k? *

a. vertex form
b. general equation
c. point-slope form
d. slope-intercept form

How necessary is the value of a, b and c in transforming quadratic function from general to vertex form? *
a. to find the value of h and k
b. to find the number of roots
c. to determine the degree of the quadratic function
d. to determine the maximum point​

Answer 1

Explanation:

it is the vertex form.

remember, (h, k) is the vertex point.

the vertex being the point of the (quadratic) parabola, where the curve turns around.

depending on the orientation of the parabola (vertex up or vertex down) as defined by the sign of a, this is either the minimum or the maximum of the curve.

so, the first a. is correct.

and so is the second a., as they play an important role when completing the square and hence finishing the transformation.