Which graph can be used to find the solution for the equation 4x + 2 = x + 3?

option C

Step-by-step explanation:

to find the solution for the equation 4x + 2 = x + 3, graph the equations

y= 4x+2  and y=x+3

Lets make a table for each equation

x          y= 4x+2

-1          4(-1) + 2= -4+2 = -2

0           4(0) + 2= 2

1             4(1) + 2= 6

plot all the points on graph

Lets make table for second equation

x          y= x+3

-1          -1+3 = 2

0           0+3 = 3

1             1+3 = 4

Plot the point on the graph and make a line

option C is correct

step-by-step explanation:

the answer is 128

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: