drag the tiles to the correct boxes to complete the pairs. match each transformation with its description…

Explanation:

Step1: Analyze vertical shift

For a function (y = f(x)), adding a constant (c) to the function (y=f(x)+c) shifts the graph of the function (c) units upward. When (c = 3), (y=f(x)+3) shifts (f(x)) 3 units upward.

Step2: Analyze horizontal shift

For a function (y = f(x)), replacing (x) with (x + h) shifts the graph of the function (h) units to the left. When (h=3), (y = f(x + 3)) shifts (f(x)) 3 units to the left.

Step3: Analyze horizontal compression

For a function (y = f(x)), replacing (x) with (ax) ((a>1)) compresses the graph of the function horizontally. When (a = 3), (y=f(3x)) compresses (f(x)) by a factor of (\frac{1}{3}) toward the (y -)axis.

Step4: Analyze vertical stretch

For a function (y = f(x)), multiplying the function by a constant (a>1) stretches the graph of the function vertically. When (a = 3), (y = 3f(x)) stretches (f(x)) by a factor of 3 away from the (x -)axis.

Answer:

• shifts (f(x)) 3 units upward: (f(x)+3)
• shifts (f(x)) 3 units left: (f(x + 3))
• compresses (f(x)) by a factor of (\frac{1}{3}) toward the (y -)axis: (f(3x))
• stretches (f(x)) by a factor of 3 away from the (x -)axis: (3f(x))