SOLUTION: How does the graph of the quadratic function or the absolute value function change if you subtract something from them?

Question 60810: How does the graph of the quadratic function or the absolute value function change if you subtract something from them?
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
How does the graph of the quadratic function or the absolute value function change if you subtract something from them?
They cause a vertical shift down that many units.
y=x^2 and y=x^2-3 are graphed below the -3 caused a vertical shift down 3 units

Y=|x| and y=|x|-3 are graphed below and the -3 caused the same vertical shift down three units.

:
When the 3 is subtracted from the x it causes a horizontal shift to the right three units.
y=x^2 and y=(x-3)^2 are graphed below.

y=|x| and y=|x-3| are graphed below.

Happy Calculating!!!
RELATED QUESTIONS
A.) Write a quadratic function in vertex form whose minimum value is 8. B.) Write a... (answered by nerdybill)

can you please draw me the graph of the function y=absolute value of... (answered by josgarithmetic)

True or false The opposite of an absolute value is negative! I think it is false since... (answered by swincher4391)

what is the absolute value function of y=-|x|+1 how do i graph it? (answered by jsmallt9)

What is the vertex of the absolute value function f(X)=- the absolute value of X-5 -3,... (answered by MathLover1,greenestamps)

How do you test if something is a function on a graph? ......I remember my teacher saying (answered by fractalier)

how do you write an absolute value function that models the front of the... (answered by Edwin McCravy)

how can you tell if the vertex is the max or min of a quadratic... (answered by josgarithmetic)

How many x-intercepts does the graph of a quadratic function have? (answered by Alan3354)