Question

What is the vertex and intercept form for the equation y=x²-2x-3? What is the standard form and intercept form for the equation y-5= -2(x+1)?What is the vertex and standard form for the equation y= (x+2)(x-3)?

Answer 1

Let's find the vertex for the following equation:

y = x² - 2x - 3

As you can see, we found graphically that (1, -4) is the vertex for this equation.

Now, let's find the intercept form, as follows:

x-intercept:

0 = -1² -2 * - 1 - 3

0 = 1 + 2 - 3

Then, (-1, 0)

0 = 3² - 2 * 3 - 3

0 = 9 - 6 - 3

Then (3, 0)

y-intercept:

yy