Answer:
Step-by-step explanation:
We are given that
Function f decreases from quadrant 2 to quadrant 1 and approaches y=0
It cut the y- axis at (0,6) and passing through the point (1,2).
Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.
It passing through the point (-1,2) and cut the y-axis at point (0,6).
Reflection across y- axis:
Rule of transformation is given by
Using the rule then we get
By using
Substitute x=-1
Substitute x=0
Therefore, is true.
Answer:
The equation of the line that is parallel to given line and passes through the point (-8, -3) is:
Step-by-step explanation:
Given equation of line is:
The general form of equation of line in slope-intercept form is written as:
Here m(co-efficient of x) is the slope of the line and b is the y-intercept.
Comparing the given equation with the general form we get
m = 5
Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.
Let m1 be the slope of required line parallel to y=5x-3
Then m1=5
Putting in general form
To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.
The point is (-8,-3)
Putting the value of b and m1, we get
Hence,
The equation of the line that is parallel to given line and passes through the point (-8, -3) is: