If the given function y = (x + 3)² + 4 is shifted down 11 units and left 1 unit, what is the y-intercept of the
new function?

4

Step-by-step explanation:

Vertical Translation  move the graph vertically - up or down

Horizontal Translation move the graph horizontally - left or right

Reflection in x-axis  

flip the graph over the x-axis, (negates the y-values of the coordinates)

Reflection in y-axis

flip the graph over the y-axis,(negates the x-values of the coordinates)

Stretch or Compress Vertically  

stretches away from the x-axis or compresses toward the x-axis

| a | > 1 is a stretch;

0 < | a | <1 is a compression

Stretch or Compress Horizontally

stretches away from the y-axis or compresses toward the y-axis

| a | > 1 is a compression by factor of 1/a;

0 < | a | <1 is a stretch by factor of 1/a

Now, we have

4). Reflect over x-axis, shift to the left 5 units, shift up 7 units

5) Vertical stretch by a factor of 4, shift down 11 units

6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.

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step-by-step explanation:

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