Answer:
g(x) = (x -3 )^2 + 2
Step-by-step explanation:
f(x) = (x + 2)^2 + 2
We want to shift this 5 units to the right
The parabola is written in the form
y = a(x-h) ^2 +k where (h,k) is the vertex
The vertex is at ( -2, 2)
We want to shift it 5 units to the right
-2+5 = 3
g(x) = (x -3 )^2 + 2
Answer:
a. 
b. 
c. 
d. 
Step-by-step explanation:
Given

Solving (a): When g(x) = 0
Substitute 0 for g(x)


Solve for 8x

Solve for x

Solving (b): when x = 0
Substitute 0 for x




Solving (c): When g(x) = -5
Substitute -5 for g(x)


Solve for 8x


Solve for x


Solving (d): When x = 3
Substitute 3 for x




Answer:
big robux
Step-by-step explanation:
y=big robux big
The triangle KLM is rotated about origin by 90 degrees to form the triangle K'L'M'.
<h3>What is a transformation of geometry?</h3>
A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Rotation does not change the size and shape of the geometry.
The triangle KLM is rotated about origin by 90 degrees to create the triangle K'L'M'.
The diagram is given below.
More about the transformation of geometry link is given below.
brainly.com/question/22532832
#SPJ1
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6