The parent function f(x) = x3 is transformed to g(x) = (x – 1)3 + 4. Identify the graph of g(x).
2 answers:
Answer:
The graph of g(x) will be shifted 4 units up and 1 unit to the right
Step-by-step explanation:
The parent function f(x) = x^3 is transformed to g(x) = (x – 1)^3 + 4
Parent function f(x)= x^3
If any number is added at the end then the graph will be shifted up
If any number is subtracted from x then graph will be shifted right
f(x)----> f(x) + a (shifted 'a' units up)
f(x) ----> f(x-a) (shifted 'a' units right)
g(x) = (x – 1)^3 + 4
The graph of g(x) will be shifted 4 units up and 1 unit to the right
the graph is attached below
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The image of the triangle and the corresponding lines is needed in order to answer this question properly. That image is attached.
We are told that point P is the incenter of the triangle, and is the center point of the incircle of the triangle. The incircle is the largest circle that can be made in a triangle and is tangent to each side of the triangle. The radius of the circle is going to be a perpendicular line from point P to any side of the triangle. In the triangle shown, PZ = PY = PX, and each value is equal to the radius of the circle.
Therefore, no further calculations are required for this problem since we already know that PZ = 7 units making the radius, r = 7 units.
We are told that point P is the incenter of the triangle, and is the center point of the incircle of the triangle. The incircle is the largest circle that can be made in a triangle and is tangent to each side of the triangle. The radius of the circle is going to be a perpendicular line from point P to any side of the triangle. In the triangle shown, PZ = PY = PX, and each value is equal to the radius of the circle.
Therefore, no further calculations are required for this problem since we already know that PZ = 7 units making the radius, r = 7 units.
