The graphs below have the same shape. What is the equation of the blue
1 answer:
Answer:
Option C.
Step-by-step explanation:
The complete question in the attached figure
we know that
The equation of the function f(x) is
Is a parabola open upward
The vertex is the point (0,0)
The function g(x) have the same shape
The vertex of the function g(x) is the point (-3,1)
so
The rule of the transformation of f(x) to g(x) is
(0,0) -----> (-3,1)
(x,y) -----> (x-3,y+1)
That means----> The translation is 3 units at left and 1 unit up
therefore
The equation of the function g(x) in vertex form is equal to
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where 
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For a line with a slope of 3/5 that passes through (10, -2)...
Let's plug these values into our formula.
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There's our equation in point-slope form. (keep in mind that you're not going to want to distribute that 3/5 or subtract the 2 or anything. You want to keep it similar to the formula.
For a line with a slope of 3/5 that passes through (10, -2)...
Let's plug these values into our formula.
Subtracting by a negative is the same thing as adding (the double negatives cancel), so let's simplify that.
There's our equation in point-slope form. (keep in mind that you're not going to want to distribute that 3/5 or subtract the 2 or anything. You want to keep it similar to the formula.