Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 12² = 13², so
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = = 5
Option A: It is vertically stretched
Option B: it is shifted down
Solution:
The exponential function undergoes two transformations to
.
<u>To determine how the graph changes:</u>
Consider the given exponential function .
Let y = f(x)
Vertically compressed or stretched:
A vertically compression (stretched) of a graph is compressing the graph toward x-axis.
• if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.
• if 0 < k < 1 if 0 < k < 1 , the graph is f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.
• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.
Here, k = 5
So the graph will be vertically stretched.
Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.
So, The graph is shifted down.
Hence option A and option B is the correct answer.