Question

Vertex Form

Form looks like?
Can we determine direction? If so, how?
Can we find the y-intercept from this form? If so, how?
Can we find coordinate point for the vertex? If so, how?
Can we identify the axis of symmetry from this form? If so, how?
Can we find the x-intercepts from this form? If so, how?
Any other notes to add?
Convert this equation into vertex form: y = x2 + 6x + 8
Convert this equations into vertex form: f(x) = x2 + 4x - 16

Answer 1

If you want to express the vertex form of an equation you have to know that the vertex form of a parabola’s equation can be expressed as: y = a(x - h)² + k. The way you know how the parabola will look like is:

If a is positive then the parabola opens upwards like a U. If a is a negative number, then the graph will open downwards like an upside down U.

I hope it helps, Regards.

Answer 2

Can we determine direction?
yes we can.the letter 'a' in the equation of vertex represents if the parabola open upwards or downwards.positive for upward and negative for downward.

Can we find the y-intercept from this form?
Yes we can.Put the value of x=0 and solve for y.

Can we find the x-intercepts from this form
yes we can.Put the whole equation equals zero and solve for x.you will get two values for x and those will be your x-intercepts