Answer:
Problem 23) 
Problem 24) 
Step-by-step explanation:
step 1
Find the slope of the given line
The formula to calculate the slope between two points is equal to
we have
Substitute the values
step 2
Problem 23
we know that
If two lines are perpendicular then the product of its slopes is equal to minus 1
so
Find the slope of the line
we have
substitute in the equation and solve for m2
with the slope m2 and the point 
find the equation of the line
Remember that
The equation of the line in slope intercept form is equal to
we have
-----> the given point is the y-intercept
substitute
step 3
Problem 24
we know that
If two lines are parallel, then its slopes are the same
so
with the slope m1 and the point 
find the equation of the line
The equation of the line in slope intercept form is equal to
we have
-----> the given point is the y-intercept
substitute
Answer:
<h3>Q1</h3>
The graph of y = f(x), has vertex at (1, -2)
<u>The vertex of a function f(x - 3) is going to be:</u>
<h3>Q2</h3>
- <em>The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another point that must lie on the graph of y = f(x).</em>
The axis of symmetry is at the same distance from the symmetric points.
x = 5 is a vertical line. The point (8, -7) is 3 units to the right. So the mirror point will be 3 units to the left and have same y-coordinate: x = 5 - 3 = 2
The point is (2, -7)
<h3>Q3</h3>
The graph in blue is the translation of the red to the left by 2 units.
<u>So the equation is:</u>
<h3>Q4</h3>
y = h(x) is graphed
- h(7) = 5
- h(h(7)) = h(5) = -1
<h3>Q5</h3>
The graph of the function y = u(x) given
This is a odd function.
The coordinates of u(x) and u(-x) add to zero because u(-x) = -u(x)
<u>Therefore:</u>
- u(-2.72) + u(-0.81) + u(0.81) + u(2.72) =
- [u(-2.72) + u(2.72)] + [u(-0.81) + u(0.81)] =
- 0 + 0 = 0
No, since it is absolute value. The answer would simply be 5, since 5 - 10 is in the absolute value bars.
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