The graph of h(x) = x² was transformed to create the graph of k(x) = -1/7x²? Which of these describes the transformation from the graph of h to the graph of k? A.) A reflection over the x-axls and a vertical stretch
B.) A reflection over the x-axis and a vertical compression
C.) A reflection over the y-axis and a vertical compression
D.) A reflection over the y-axis and a vertical stretch

Given:

The functions are:

To find:

The transformation from the graph of h to the graph of k.

Solution:

The transformation is defined as

               .... (1)

Where, a is stretch factor

If 0<|a|<1, then the graph compressed vertically by factor |a| and if |a|>1, then the graph stretch vertically by factor |a|.

If , then the graph of h(x) reflected across the x-axis.

We have,

It can be written as

        ...(2)

On comparing (1) and (2), we get

The graph of h(x) reflected across the x-axis.

So, the graph is compressed vertically.

It means the graph of h reflection over the x-axls and a vertical stretch to get the graph of k.

Therefore, the correct option is B.

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step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.