Which graph shows h of x is equal to f of x times g of x ?
Answer
A
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis, both axes labeled from negative 10 to 10 by twos with grid lines every 2 units. Three functions are plotted on the grid. A parabola labeled f of x opens upward with its vertex at 0 comma 4, containing two highlighted solid dots at negative 2 comma 8 and 1 comma 5. A line labeled g of x slopes downward from left to right, crossing the horizontal axis at the origin 0 comma 0, containing two highlighted solid dots near negative 2 comma 0.75 and 1 comma negative 0.2. A curve labeled h of x decreases from left to right, crossing the vertical axis at 0 comma 4, and intersecting g of x near 2.5 comma negative 0.5. It contains two highlighted solid dots at negative 2 comma 6 and 1 comma 3.
B
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 12 in increments of 2. The graph has a parabola (f of x), a straight line (g of x), and a smooth curve (h of x). The parabola (f of x) has a vertex at (0 comma 4) and passes through (negative 2 comma 8) and (2 comma 8). The straight line (g of x) has a negative slope and passes through (negative 8 comma 2) and (8 comma negative 2). The smooth curve (h of x) goes through (2 comma 4), (0 comma 0), and (negative 2 comma 6) and moves down further.
C
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 12 in increments of 2. The graph has a parabola (f of x), a straight line (g of x), and a smooth curve (h of x). The parabola (f of x) has a vertex at (0 comma 4) and passes through (negative 2 comma 8) and (2 comma 8). The straight line (g of x) has a negative slope and passes through (negative 8 comma 2) and (8 comma negative 2). The smooth curve (h of x) goes through (0 comma 4), (negative 2 comma 2), and moves down further in the fourth quadrant.
D
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 10 in increments of 2, and the y-axis ranges from negative 10 to 12 in increments of 2. The graph has a parabola (f of x), a straight line (g of x), and a smooth curve (h of x). The parabola (f of x) has a vertex at (0 comma 4) and passes through (negative 2 comma 8) and (2 comma 8). The straight line (g of x) has a negative slope and passes through (negative 8 comma 2) and (8 comma negative 2). The smooth curve (h of x) goes through (negative 4 comma 12), (negative 2 comma 4), (0 comma 0), and (2 comma negative 4) and moves down further.