Find the slant height of this square pyramid.
1 answer:
Check the picture below.
so, notice, we first use squarish base, to get the diagonal distance, then we use half that, for the triangle you see shaded above, to find the height "h" using the pythagorean theorem on each case.
on the bottom part of the picture, we use that "h" and since it's a square at the bottom, the distance from the center to a side is just 3, then we use the pythagorean theorem to get the slant height "sh".
so, notice, we first use squarish base, to get the diagonal distance, then we use half that, for the triangle you see shaded above, to find the height "h" using the pythagorean theorem on each case.
on the bottom part of the picture, we use that "h" and since it's a square at the bottom, the distance from the center to a side is just 3, then we use the pythagorean theorem to get the slant height "sh".
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Option d: reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.
Step-by-step explanation:
The parent function is
The transformation function is
In the transformed function, the function is added +2, which shifts the graph by 2 units up.
Also, the function is multiplied by 3, which stretches the function vertically by a factor of 3 units.
The variable x is multiplied by -1, such that the function reflects across y-axis.
Thus, the correct answer is option d.
The graph is attached below which shows the parent function and the transformed function.
The transformation function is reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.
