Determine whether the graphs of the given equations are parallel, perpendicular, or neither
y=x+11
y=-x+2

a. parallel
b. perpendicular
c. neither

Keywords

parallel, perpendicular, graphing, linear equation, slope, lines

we know that

If two lines are perpendicular, then the product of their slope is equal to minus one

so

If two lines are parallel, then their slope are equal

In this problem we have

--------> linear equation A

the slope is

 --------> linear equation B

the slope is

Find the product

---------> the lines are perpendicular

therefore

the answer is the option B

Perpendicular

using a graphing tool

see the attached figure

answer: ask

step-by-step explanation:

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1