Mathematics, 28.06.2019 04:00 liquinn99

The function shown in the graph is vertically stretched by a factor of 2 to produce a new graph. which function represents the new graph?

The function shown in the graph is vertically stretched by a factor of 2 to produce a new graph. whi

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Answer from: Shelleycarousel

Third option.

Step-by-step explanation:

We know that the sine function is:

f(x)=Asin(bx)

Where "A" is the amplitude of the function( This is half the vertical distance between minimum value and maximum value of the function) and $\frac{2\pi }{b}$ is the period.

Observe in the graph that the amplitude is:

A=1

And the period is 1, then "b" is:

$1=\frac{2\pi }{b}\\\\b=\frac{2\pi }{1}\\\\b=2\pi$

Then the function shown in the graph is:

$f(x)=sin(2\pi x)$

By definition in the transformation of the function:

When kf(x) and then the function is stretched vertically by a factor of "k".

In this case we know that the function shown in the graph is vertically stretched by a factor of 2 to produce a new graph. Then:

k=2

Therefore,the function that represents the new graph is:

$f(x)=2sin(2\pi x)$

Answer from: Quest

Need the graph to answer this.

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.