The coordinates of the turning point of the graph of y = x
2 − 8x + 25 is (4,9).
Hence describe the single transformation which maps
the graph of y = x

2 onto the graph of

y = x
2 − 8x + 25.

(x + 4), (y + 9)

Step-by-step explanation:

y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.

The turning point of y = x^2 is at the origin (0, 0).

So the transformation is 4 units to the right and 9 units upwards:

(x + 4), y+ 9).

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.