Does the parabola goes through the points and : yes!
I have a new question.
A parabola is U shaped. My understanding is that this U shape is +
The parabola has axis of symmetry x = 0
The parabola has y intercept (0, - 2)
The points (2, 0) lies on the parabola
I am asked to find the equation, which I think I got it right here;
y = 1/2 x^2 - 2
y = 1/2 x 4 - 2
y = 0
How am I doing?
I am not sure how to interpret what is being said, suppose I had a graph y = x^2 - 3x - 10, then suppose that the graph is a + parabola, y is the intercept where it crosses or touches the y axis, but that is it is a value of y when x = 0, but then the x intercepts are - 2, 5, y intercept is - 10.
So the graph is such that the parabola is drawn from the second quadrant down crosses the x axis at -2 then passes through the third quadrant then crosses the y axis at - 10, then turns and goes up through the fourth quadrant cutting the x axis at 5, then entering the first quadrant to finish.
Thats a lot of information to try and understand how x = 0 and y = 0, I don't understand how they relate together?