Answer:
I believe the answer is C
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9514 1404 393
Answer:
see attached
Step-by-step explanation:
Each point moves to 3 times its original distance from the blue dot. Each length is 3 times as long as the original.
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Answer:
B. 121
Step-by-step explanation:
1×3=3
3×3=9
9×3=27
27×3=81
the sum = 1+3+9+27+81 = 121.
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Answer:
a) f(x) = -2x² + 4x
Explanation:
To find the standard form we need to solve the equation as:
![\begin{gathered} f(x)=-2(x-1)^2+2 \\ f(x)=-2(x^2-2x+1)+2 \\ f(x)=-2x^2-2(-2x)-2(1)+2 \\ f(x)=-2x^2+4x-2+2 \\ f(x)=-2x^2+4x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3D-2%28x-1%29%5E2%2B2%20%5C%5C%20f%28x%29%3D-2%28x%5E2-2x%2B1%29%2B2%20%5C%5C%20f%28x%29%3D-2x%5E2-2%28-2x%29-2%281%29%2B2%20%5C%5C%20f%28x%29%3D-2x%5E2%2B4x-2%2B2%20%5C%5C%20f%28x%29%3D-2x%5E2%2B4x%20%5Cend%7Bgathered%7D)
So, the standard form is f(x) = -2x² + 4x
To make the graph we will use the initial form because when the equation is written like f(x) = a(x-h)²+k, the coordinate (h,k) is the vertex of the parabola
So, in this case, the vertex of the parabola is the point (1, 2)
On the other hand, we can find a point in the graph. For example, if x is equal to 0, then f(x) is equal to:
f(x) = -2(x-1)² + 2
f(0) = -2(0-1)² + 2
f(0) = -2(-1)² + 2
f(0) = - 2 + 2
f(0) = 0
So, the parabola passes through the point (0,0) and has a vertex in the point (1, 2). Then, the graph is: