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These answers are all solved by Factoring.

1. 2x (x - 3) = 0

( so what I did was Factor 2x out of 2x^2 - 6x.)

2. (x - 8) (x + 3) = 0

(So what I did was Set the equation equal to zero and factor the left side.)

3. (x + 11)^2 = 0

(Factor using the perfect square rule.)

4. (2x - 1) (x - 1) = 0

(Here I Factor by grouping.)

a. The way I answered the equations is by factoring all the questions. For number One, what I did was Factor 2x out of 2x^2 - 6x. For number two, what I did was Set the equation equal to zero and factor the left side.

For number 3, All I did was Factor using the perfect square rule. For number 4, I Factor by grouping.

b. Solve Using the Quadratic Formula And then Factoring or factor by Grouping.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.