Answer:



Explanation:
Question 17
The graph shows an upward-opening parabola, indicating that the parent function is y = x².
While the vertex of the parent function is at (0, 0), the graphed function has a vertex at (0, -5). Consequently, the graphed function is the result of a vertical translation of 5 units down. To achieve this translation, we subtract 5 units from the function.
Therefore, the equation of the graphed function is:


Question 18
The graph shows an upward-opening absolute value function, indicating that the parent function is y = |x|.
While the parent function has its vertex at (0, 0), the graphed function's vertex is located at (-3, -5). Therefore, the graphed function is the result of a horizontal translation of 3 units to the left and a vertical translation of 5 units down. When we translate a function n units left, we add n units to the x-value. When we translate a function n units down, we subtract n units from the function.
Therefore, the equation of the graphed function is:


Question 19
The graph shows a square root function, indicating that the parent function is y = √x.
While the parent function begins at the left endpoint (0, 0), the graphed function starts at the left endpoint (-5, 0). Consequently, the graphed function is the result of a translation of 5 units to the left. When we translate a function n units to the left, we add n units to the x-value.
Therefore, the equation of the graphed function is:
