If y=(x+2)(x+8) is graphed in the xy-plane, which of the following characteristics of the graph is displayed as a constant in the equation? Choose 1 answer: (A) x-intercept(s) (B) y-intercept (C) x-coordinate of the vertex (D) Minimum y-value

Question

If  y=(x+2)(x+8) is graphed in the  xy-plane, which of the following characteristics of the graph is displayed as a constant in the equation? Choose 1 answer: (A)  x-intercept(s) (B)  y-intercept (C)  x-coordinate of the vertex (D) Minimum  y-value

Bytelearn · Accepted Answer

Understand Equation Form: To determine the characteristic of the graph that is constant in the equation, we need to understand the form of the equation y=(x+2)(x+8).Identify X-Intercepts: The given equation is in factored form, which can help us identify the x-intercepts of the graph. The x-intercepts occur where y=0, which would be at the values of x that make each factor equal to zero. In this case, those values are x=-2 and x=-8.X-Intercepts Not Constants: However, the question asks for a constant in the equation. The x-intercepts are not constants; they are the values of x for which y equals zero. Therefore, option (A) is not the correct answer.Find Y-Intercept: The y-intercept occurs where the graph crosses the y-axis, which is when x=0. To find the y-intercept, we substitute x=0 into the equation and solve for y.Substitute X=0: Substituting x=0 into the equation gives us y=(0+2)(0+8), which simplifies to y=2*8.Calculate Y=16: Calculating the product gives us y=16. This is the y-intercept of the graph, and it is a constant in the equation because it does not change regardless of the value of x.Y-Intercept is Constant: Since the y-intercept is a constant and is represented in the equation when x=0, the correct answer is option (B) y-intercept.

Full solution

More problems from Find trigonometric ratios using a Pythagorean or reciprocal identity

Related topics