heather is solving an equation by graphing the expressions on either side of the equal signs. if the graph…

heather is solving an equation by graphing the expressions on either side of the equal signs. if the graph intersects at an infinite number of points, which statement could describe the equation heather is attempting to solve?\none side of the equation is a constant, and the other side of the equation is a linear expression.\none side of the equation is a linear expression, and the other side of the equation is a quadratic expression.\none side of the equation is a constant, and the other side of the equation is a quadratic expression.\none side of the equation is a quadratic expression, and the other side of the equation is a quadratic expression.

heather is solving an equation by graphing the expressions on either side of the equal signs. if the graph intersects at an infinite number of points, which statement could describe the equation heather is attempting to solve?\none side of the equation is a constant, and the other side of the equation is a linear expression.\none side of the equation is a linear expression, and the other side of the equation is a quadratic expression.\none side of the equation is a constant, and the other side of the equation is a quadratic expression.\none side of the equation is a quadratic expression, and the other side of the equation is a quadratic expression.

Answer

Brief Explanations:

When two graphs intersect at infinitely many points, the expressions on both sides of the equation are identical (they represent the same graph). A constant and linear/quadratic graph can only intersect at finite points; a linear and quadratic graph intersect at at most 2 points. Two quadratic expressions can be identical (e.g., $x^2 + 2x +1$ and $(x+1)^2$), leading to infinite intersections.

Answer:

D. One side of the equation is a quadratic expression, and the other side of the equation is a quadratic expression.