Question

PLEASE HELP! MEDAL!
Create a quadratic equation in standard form that can be factored.

Answer 1

A. Write your equation in standard form. Use complete sentences to explain the benefits of writing your equation in standard form.
B. Write your equation in factored form. Use complete sentences to explain the benefits of writing your equation in factored form.
C. Write your equation in vertex form. Use complete sentences to explain the benefits of writing your equation in vertex form.
D. Explain how all three forms can be used together to help you graph a quadratic function. Graph your function, and label the y-intercept, the x-intercepts, and the vertex.

Answer 2

equation: y = x^2 -5x +6
a.)the benefit of writing this in standard form is that it is easier to solve for values by plugging in numbers for x or y
b.)(x-2)(x-3) = 0, the benefit of writing in factored form is that it is easy to solve for the x intercepts using the zero product property
c.)(x-5/2)^2 - 1/4, the benifft is in the name, it helps you find the vertex with (h,k)
d.)All three forms can be used together to help create a quadratic function because standard form helps find missing points, factored form helps find the x-intercepts and vertex form helps you find the vertex of the parabola.