Which function represents a translation of the graph of y=x^2 by 10 units to the left?

Question

9. Which function represents a translation of the graph of y=x^2 by 10 units to the left?
Y=x^2+10
Y=10x^2
Y=(x-10)^2
Y=(x+10)^2

10. In the function y=1/3x^2, what effect does the number 1/3 have on the graph, as compared to the graph of the function y=x^2?
(Points : 3)
It stretches the graph vertically by a factor of 3.
It shrinks the graph vertically to 1/3 its original height.
It stretches the graph horizontally by a factor of 3.
It shrinks the graph horizontally to 1/3 its original width.

11. Express √ -225 in its simplest terms.

12. Express √-72 in its simplest form.
6i √2
2i√18
3i√8
Cannot be determined

Answer 1

9. Try drawing the graphs of x, x+2, and x-2. Which one shifted the graph 2 spaces to the left? Use that logic to get your answer.

 

10. Draw the graphs of both functions. Use a table to help you. For instance, plug in the x-values of -6, -3, 0, 3, and 6 to each equation. Plot those points. Note the different shapes of the two graphs.

 

11. Factor -225. -225 = -5*45 = 5*5*9 = -5*5*9*9 = -5²*9² =-1*5²*9²

 

What's the square root of -1*5²*9²? Hint: The square root of 2²*7² is 2*7.

 

12. Factor 72. 72 = 8*9 = 2³ * 3² = 2*2²*3². What's the square root of that? Use the same logic as the last problem.

 

Good luck,

Bryce