The graph of g(x) is shifted 4 units up ⇒ answer a
Step-by-step explanation:
Let us revise the translation
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ The parent function f(x) = x
∵ g (x) = x + 4
- Substitute x in g(x) by f(x)
∴ g(x) = f(x) + 4
- g(x) is f(x) add by 4
- by using the rule of translation above
∵ g(x) = f(x) + k
∵ k = 4
∴ g(x) is the image of f(x) after translation 4 units up
∴ The graph of g(x) is 4 units above the graph of f(x)
The graph of g(x) is shifted 4 units up
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Answer:
y = 3,224x + 750
Step-by-step explanation:
Assuming the scholarship and grants are applied using the slope intercept form y=mx+b where m is the slope in this case the cost per year attending x the number of years attended and b the y intercept which in this case is the one time fee subtracting 13,774 by 10,550 gives us 3,224.
Since the one time fee is only in place once that would make it the y intercept therefore y=3,224x+750 is the correct answer
Answer:
Fraction: 
Decimal: 0.25
Percentage: 25%
Step-by-step explanation:
Have a good day :)
The answer is ASA.
Given that ∠A = ∠O, ∠W = ∠N, SW = TN, this shows that the two angles (∠A and ∠W) and the included side SW of the first triangle are equal to the two angles (∠O and ∠N) and the included side TN of the second triangle. This means that third angles ∠S and ∠T are also equal. Therefore, the two triangles ΔWAS and ΔNOT are congruent based from the ASA Postulate.
Given:
The length of the ladder = 12 ft
The angle of ladder with ground = 60 degrees
To find:
How far up the building the ladder will reach.
Solution:
Using the given information draw a figure as shown below.
We need to find the vertical distance between the top of ladder and the ground.
Let x be the required distance.
In a right angle triangle,
In the below triangle ABC,
Multiply both sides by 12.
Therefore, the ladder will reach 
ft far up the building.
