The function f(x) = x2 is transformed to f(x) = 3x2. which statement describes the effect(s) of the transformation on the graph of the original function?
a)the parabola is wider.
b)the parabola is narrower.
c)the parabola is wider and shifts 3 units up.
d)the parabola is narrower and shifts 3 units down.

 B) The parabola is narrower.

Step-by-step explanation:

is the Standard form of a quadratic function, where a, b and c are coefficients ().

With the coefiicient "a" you can determine how narrow or wide the parabola is:

makes the parabola narrow.

makes the parabola wide.

Given the transformation of the parent function: , you can identify that:

Then:

Therefore, as the parent function is multiplied by 3 and know ,   the parabola if narrower than the parabola of the quadratic parent function .

Option B - The parabola is narrower.

Step-by-step explanation:

Given : The function is transformed to  

To find : Which statement describes the effect(s) of the transformation on the graph of the original function?

Solution :

When the function of parabola is transformed by 'a' unit

Then, makes the parabola narrow.

and makes the parabola wide.

On comparing with given function,

|a|=|3| >1 which is greater than 1.

Which means it makes the parabola narrow.

Therefore, the parabola is narrower.

So, Option B is correct.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.