Answer:
Step-by-step explanation:
a). Given equation is y = 3x - 4
Table for the input-output values is,
x -1 0 1 2 3
y -7 -4 -1 2 5
Now we can plot these points on the graph (graph attached).
b). Equation is y = -2x + 3
Table for the input-output values will be,
x -1 0 1 2 3
y 5 3 1 -1 -3
The answer is:
The coordinates of the midpoint are:
We can find the midpoint of the segment with the given endpoints using the following formula.
The midpoint of a segment is given by:
We are given the points:
and
Where,
So, calculating the midpoint, we have:
Hence, we have that the coordinates of the midpoint are:
Have a nice day!
Answer:
Step-by-step explanation:
The parent function is
First it is asked to reflect over the y axis so using the rule
Our function looks like
Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule
When subtracting a 7 it looks like now
where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule
where a is the vertical stretch. So now it would look like