A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Identify which form would be more helpful if you needed to do each task listen below and explain why.
a. Factor the equation.
b. Graph the parabola.
c. Identify the vertex, minimum, or maximum of the parabola.
d. Solve the equation using the quadratic formula.
Well, to factor an equation you need to use the standard form. To graph the parabola, you need to use the vertex form. You also need the vertex form to identify the vertex, minimum, or maximum of the parabola. To solve the equation using the quadratic formula, you need to once again use the standard form.
The standard form is y = ax + bx + c
The quadratic formula is x = -b +- square root of b^2 -4ac, then you divide everything except x by 2a.
A quadratic equation can be factored from y = ax + bx + c. So the standard form can be used for both (a) and (d) (answer choices).
The form/equation above is used to identify the vertex and identify the maximum and minimum of a parabola.
The vertex formula can be used for both (answer choices) (b) and (c).
I hope this helps you all!
Have a blessed day! 🙏🏽