The correct answer is the first option: "A curve passes through quadrants 2 and 4 on a coordinate plane with the x-axis ranging from negative 2 to 6 in unit increments."
This is because the zeros of the polynomial, which are the x-values where the polynomial equals zero, are -2 and 0. The graph of the polynomial will intersect the x-axis at -2 and 0. The other options do not accurately represent this information.
Use the zeros to determine which of the following graphs is a sketch of the polynomial f(x)=−x(x+2)2.(1 point)
Responses
A curve passes through quadrants 2 and 4 on a coordinate plane with the x-axis ranging from negative 2 to 6 in unit increments.
Image with alt text: A curve passes through quadrants 2 and 4 on a coordinate plane with the x-axis ranging from negative 2 to 6 in unit increments.
A curve with arrows at both the ends is plotted on a coordinate plane. The x-axis ranges from negative 6 to 2 in unit increments. The y-axis does not show any values.
Image with alt text: A curve with arrows at both the ends is plotted on a coordinate plane. The x-axis ranges from negative 6 to 2 in unit increments. The y-axis does not show any values.
A curve passes through quadrants 2 and 4 on a coordinate plane with the x-axis ranging from negative 6 to 2 in unit increments.
Image with alt text: A curve passes through quadrants 2 and 4 on a coordinate plane with the x-axis ranging from negative 6 to 2 in unit increments.
A downward-opening parabola is plotted on a coordinate plane with the x-axis ranging from negative 4 to 2 in unit increments.
1 answer
1 answer