Unit 7 Math

Question 1

how to graph a parabola from root form

Answer 1

1. find the two x-intercepts and graph them
2. find the x of the vertex by averaging the two x-intercepts
3. find the y of the vertex by substituting the x in the equation
4. graph the vertex depending on whether a is 1 or -1
5. go over 1, up 1, over 2, up 4 make sure to go over first because it is x

Question 2

how to graph a parabola from vertex form

Answer 2

1. plot the vertex
2. look at whether a is positive or negative so you know which way to graph
3. go over 1, up 1, over 2, up 4 make sure to go over first because it is x

Question 3

root form/intercept form

Answer 3

y = a( x - r1 )( x - r2 )

Question 4

vertex form

Answer 4

y = a( x - h )squared +k

Question 5

how to find the mirror point on a graph

Answer 5

count how many places x is away from the vertex, than count that same number of spots on the other side and that will be x, and y will stay the same

Question 6

how do you find the x-intercepts from standard form

Answer 6

make f(x) 0

Question 7

how to find the axis of symmetry from standard form

Answer 7

1. make y 0
2. find the x intercepts
3. average them

Question 8

when your equation is in standard form and you know the axis of symmetry how do you find the vertex

Answer 8

put the number from the axis of symmetry as x and then find y and those will be the coordinates

Question 9

point slope form

Answer 9

y - y1 = m(x - x1)

Question 10

when a is greater than 1 the graph is _______

Answer 10

narrower than x-squared slope

Question 11

when a is in between 0 and 1 the graph is _______

Answer 11

wider than x-squared slope