Given the following information, find the equation in vertex form, factored form and standard form. 1. Vertex (1, 4) Point (2, -1)
Vertex form
Standard form

Vertex:

Standard:

Factored:

This is unfactorable.

Step-by-step explanation:

The parabola has a vertex at (1, 4) and it crosses a point at (2, -1).

We will start off with the vertex form, given by:

Where (h, k) is the vertex.

Therefore:

Since the function passes through (2, -1), f(x) = -1 when x = 2:

Solve for a:

Therefore, vertex form is:

To find the standard form, expand:

Distribute:

And simplify:

We can now factor. Which two values multiply to be 5 and add up to be 10?

Since this is no possible, the equation is unfactorable.

b

15: 24

62.5%

step-by-step explanation: