Graph the function y=|x+2|-3
2 answers:
Answer:
The graph has been attached.
Step-by-step explanation:
We have to graph the function y=|x+2|-3
The parent function is y = |x|.
It is a v-shaped curve, with vertex at (0,0) as shown in the figure with dotted curve.
We use rule of transformation of graph:
- When we add a constant 'a' in x then graph shifts 'a' units left
- When we subtract a constant 'a' in function then graph shifts a units down
Now, we translate this graph 3 units down and 2 units left. Thus, the equation of the parent function becomes y=|x+2|-3. The curve is v-shaped and the vertex is at (-2,-3).
Now, we can easily graph the function y=|x+2|-3
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Answer:
The measure of the angles are 40 degrees and 50 degrees
Step-by-step explanation:
Let
x ----> the measure of one angle in degrees
y ----> the measure of the complementary angle in degrees
we know that
If two angles are complementary, then their sum is equal to 90 degrees
so
----> equation A
we have that
----> equation B
Substitute equation B in equation A and solve for y
Find the value of x
therefore
The measure of the angles are 40 degrees and 50 degrees
Answer:
The answer is
<h2>( 3 , - 1)</h2>Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(2, -3) and (4, 1)
The midpoint is
We have the final answer as
<h3>( 3 , - 1)</h3>Hope this helps you