Question

could someone please help me with this? and PLEASE NO FAKE ANSWERS SERIOUSLY NO
and if you want there are more questions on my profile that are worth 50 points
will be quite happy if someone can help with any of this

Answer 1

Answer:

(a) 5 units up

(b) 3 units right

(c) 7 units left

Step-by-step explanation:

Parent equation:  $y=x^2$

Transformed equation:  $y = (x - h)^2+ k$

h translates the parabola horizontally

If h > 0 then the translation is h units to the right.

If h < 0 then the translation is h units to the left.

If h = 0 then there is no horizontal translation.

k translates the parabola vertically

If k > 0 then the translation is k units up.

If k < 0 then the translation is k units down.

If k = 0 then there is no vertical translation.

Part (a)

Given equation:  $y=x^2+5$

Rewriting in transformed equation form:  $y=(x-0)^2+5$

Therefore, the parabola is translated 5 units up.

Part (b)

Given equation:  $y=(x-3)^2$

Rewriting in transformed equation form:  $y=(x-3)^2+0$

Therefore, the parabola is translated 3 units right.

Part (c)

Given equation:  $y=(x+7)^2$

Rewriting in transformed equation form:  $y=(x+7)^2+0$

Therefore, the parabola is translated 7 units left.

Part (d)

Given equation:  unreadable