Question

Write the equation of the function that is obtained (order given) of the graph of y=px(x).

a) opens upward, shift up 1 unit, shift left 6 units
b) opens downward, shift down 6 units, shift right 7 units
c) opens downward, shifts down 6 units, shifts right 7 units
d) opens upward, shifts up 22 units, shift right 33 units

Answer 1

The equation of the function that is obtained (in the given order) from the graph of y = px(x) is y = p(x - 7) - 6.

Step-by-step explanation:

The equation of the function that is obtained (in the given order) from the graph of y = px(x) can be determined based on the given options. Let's analyze each option:

1. (a) Opens upward, shift up 1 unit, and shift left 6 units: The equation would be y = p(x + 6) + 1.
2. (b) Opens downward, shift down 6 units, and shift right 7 units: The equation would be y = p(x - 7) - 6.
3. (c) Opens downward, shifts down 6 units, and shifts right 7 units: The equation would be y = p(x - 7) - 6.
4. (d) Opens upward, shifts up 22 units, and shift right 33 units: The equation would be y = p(x - 33) + 22.

Based on the given options, the correct equation for the function is option (b): y = p(x - 7) - 6.