Question

Describe how the graph of y= x2 can be transformed to the graph of the given equation.

y = (x - 6)2

Shift the graph of y = x2 down 6 units.

Shift the graph of y = x2 right 6 units.

Shift the graph of y = x2 up 6 units.

Shift the graph of y = x2 left 6 units.

Answer 1

shifting up or down is a y-shift
shifting left or right is an x-shift

for y-shifts, shifting up is subtracting the value of the shift amount from y
shifting down is adding the value of the shift amount to y

Answer 2

for x-shifts, shifting right is subtracting the value of the shift amount from x
shifting left is adding the value of the shift amount to x

Answer 3

does that help?

Answer 4

@Algebraic! so the answer is Shift the graph of y = x2 up 6 units. right?

Answer 5

your expression has a value subtracted from the x value

Answer 6

do you see that?

Answer 7

x-6

Answer 8

so it corresponds to what sort of shift? (based on what I said for all the cases)

Answer 9

@Algebraic! im still not sure I think thats what it is

Answer 10

y shift up (C units) looks like: y-C = x^3
y shift down (C units) looks like: y+C =x^3
x shift right (C units) looks like: y=(x-C)^3
x shift left (C units) looks like: y=(x+C)^3

Answer 11

I see so it would be that it shifts 6 units to the right @Algebraic!

Answer 12

yes