Adifferent way to solve a mixed-number addition problem

Step-by-step explanation:

example :

2 1/4  + 3 1/2

you can either turn them to improper fractions, find the common denominator, and then add them and then convert that answer to a mixed number

2 1/4 + 3 1/2 = 9/4 + 7/2 = 9/4 + 14/4 = 23/4 = 5 3/4

OR

separate themadd the whole numbers, then the fractions

2 1/4 + 3 1/2 2 + 3 = 51/4 + 1/2 = 1/4 + 2/4 = 3/4now put them back together and u get : 5 3/4

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points