shifting a parabola

what does a negative coefficient do to a graph

turns the graph downwards

how do you stretch a parabola vertically

any number multiplied by X bigger than 1. EX: y= 5x²

where is the vertex

the middle of the parabola, either the highest point for negative or lowest point for postitive

what is line of symmetry

the vertex

how do you make a parabola compress vertically

<1, any number multiplied by X smaller than 1. EX: y= 1/3x²

how do you move a parabola down

subtract a number at the end. EX: y= 3x²-5

how do you move a parabola up

add a number to the end. EX: y= 3x²+5

how do you move a parabola to the right

subtract inside the parenthesis. EX: y= (3x-5)²

how do you move a parabola to the left

add inside the parenthesis. EX: y= (3x+5)²