Using translation concepts, it is found that the equation of the transformed function is:
y = |x + 3| - 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The absolute value function is given by y = |x|, and has vertex at (0,0). After the transformations, the function has vertex (-3, -2), which means that:
- It was shifted 3 units to the left, hence x -> x + 3.
- It was shifted 2 units down, hence y -> y - 2.
Thus, the equation of the function is now given by:
y = |x + 3| - 2.
More can be learned about translation concepts at brainly.com/question/4521517
Answer:
33 sq in
Step-by-step explanation:
Area of each triangular face is 1/2×3×4 = 6sq in
Hence total area of four(4) faces is 6×4 = 24sq in
Area of base is 3×3 = 9sq in
Hence Total area of pyramid is 24+9 = 33sq in
Answer:
D 10
Step-by-step explanation:
10 x 10 = 100
100/10 = 10
10 is a perfect square
Answer:
6
Step-by-step explanation:
Given : g(x) = and h(x)=2x-8.
g*h(x) =(2x-8).
We have square root(x-6) in composite function f*h(x).
So, we need to find the domain, we need to check for that values of x's, square root(x-4\6) would be defined.
Square roots are undefined for negative values.
Therefore, we can setup an inequality for it's domain x-6≥0.
Adding 4 on both sides, we get
x-6+6≥0+6.
x≥6.
Answer:
180 inches
Step-by-step explanation:
This is an arithmetiic sequence. The sum of such a sequence is
s(n) = (n/2) * (a1 + an), where a1 is the first term and an is the last (or nth) term.
Here,
s(10/2)(22 + 14) = 5(36) = 180
The total length of the runs is 180 inches.
