Answer:
-21
Step-by-step explanation:
f(-3) = -4(-3)² + 15 = -4(9) + 15 = -36 + 15 = -21
The transformations are vertical translation 7 units up.horizontal translation 3 units to the left
We have given that the equations
let f(x)=x^2 and g(x)=(x-3)^2+7
We have to determine the correct transformation,
<h3>What is the vertical translation?</h3>
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.
Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.
Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.
To learn more about the transformation visit:
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Answer:
216 cm^2
Step-by-step explanation:
A cube has 6 congruent, square faces.
Each face has side length of 6 cm.
The total surface area is the sum of the surface areas of the 6 faces, but since all faces are congruent, the total surface area is
SA = 6s^2
where s = side length
SA = 6 * (6 cm)^2
SA = 6 * 36 cm^2
SA = 216 cm^2
