Answer:
Step-by-step explanation:
<u>Opposite / adjacent = tangent</u>
- tan 29° = 19 /x
- x = 19 / tan 29°
- x = 34.3 (rounded)
Answer:
1) A reflection across the y-axis
and then
2) A reflection across the x-axis
Step-by-step explanation:
We are given a triangle on the graph.
The vertices of the given triangle are (1,3), (-3,4) and (5,5).
The shown triangle is being transformed by the following rule
(x, y)→(x+3, y−2).
Let us apply same rule in each of the above coordinate
(1,3) →(1+3, 3 -2) → ( 4,1)
(-3,4) →(-3+3, 4 -2) → ( 0, 2)
(5,5) →(5+3, 5 -2) → ( 8, 3).
<h3>Therefore, coordinates of the transformed triangle are (4,1), (0,2) and (8,3).</h3>
Subtraction of a number from x represents a shift towards right. So this means g(x) has been shifted 4 units to right. Addition of a number to the function value represents a vertical shift. So g(x) has been shifted 3 units up to get f(x).
So, we can write f(x) as:
f(x) = g(x - 4) + 3
So, translate g(x) 4 units to right and 3 units up to get f(x).
Thus, option C is the correct answer
