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PLSSS HELP ME WITH THESE :)))

PLSSS HELP ME WITH THESE :)))-example-1
User Vadow
by
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1 Answer

7 votes

Answer:

7)
x \to x - 3.

8)
y \to y + 2

9) The entire quadratic equation did not get reflected.

Explanation:

7) A horizontal translation to the right is of the form:


x \to x - a

Let
y = -(x-3)^(2) + 2, then the horizontal translation is represented by
x \to x - 3.

8) A vertical translation upwards is of the form:


y \to y + a

Let
y = -(x-3)^(2) + 2 , then the vertical translation is represented by:


y \to y + 2

9) The only component of the quadratic equation that was reflected was the part
(x-3) ^(2) along the x-axis. We can create the entire function by applying the following steps:

(i)
f(x) = x^(2) (Original function)

(ii)
f(x) = (x-3)^(2) (Horizontal translation)

(iii)
f(x) = - (x-3)^(2) (Reflection)

(iv)
f(x) = -(x-3)^(2) + 2 (Vertical translation)

The entire quadratic equation did not get reflected.

User Pszaba
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