Let f(x)=(x+4)^2−3.
2 answers:
Answer:
f(x) is translated up 9 units to get g(x)
C is correct.
Step-by-step explanation:
Given:
We need to compare the graph of g(x) with respect to graph of f(x)
So, we will subtract g(x)-f(x)
Simplify the expression
Here, g(x) will get by addition of 9 to f(x).
It is vertical shift. Here Addition of 9 so, f(x) will shift 9 unit up to get g(x)
Hence, f(x) is translated up 9 units to get g(x)
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notice the leading term's coefficient, is -2, is negative, that means the parabola is opening downwards, is facing down, so it goes up up up, reaches the U-turn and then down down down, is a "hump" or a maximum point.
and the line of symmetry, well is a vertical parabola, mirroring itself at the line x = -2, which is the x-coordinate of the vertex.
notice the leading term's coefficient, is -2, is negative, that means the parabola is opening downwards, is facing down, so it goes up up up, reaches the U-turn and then down down down, is a "hump" or a maximum point.
and the line of symmetry, well is a vertical parabola, mirroring itself at the line x = -2, which is the x-coordinate of the vertex.
The length would be 50 ft and the width would be 40 ft.
