Question

I have a math question that reads: y = -3x2 - 6x +2 , find and graph.

I have to find several things like the vertex , y-intercept, and the x intercept.

However what I need to know is how do i find the y intercept and x intercept.

Answer 1

y intercept is the constant. it is 2

Answer 2

x intercept is what you get when you solve
\[-3x^2-6x+2=0\]

Answer 3

y intecept is 2
x intercept is factoring -3x2-6x+2
vertex is where -6x-6=0 which is -1

Answer 4

first coordinate of the vertex is
\[-\frac{b}{2a}=-\frac{-6}{2\times -3}=-1\]

Answer 5

-6x-6=0 was found using the derivative which you will learn in calculus though

Answer 6

right, but you always use
\[-\frac{b}{2a}\] anyway
you are going to have to solve
\[-3x^2-6x+2=0\] with the quadratic formula because it does not factor over the integers

Answer 7

you will get
\[\frac{-3\pm\sqrt{15}}{3}\]

Answer 8

Thank you! I got it!