a student draws two parabolas on graph paper. both parabolas cross the x - axis at (-4, 0) and (6, 0). the y…

a student draws two parabolas on graph paper. both parabolas cross the x - axis at (-4, 0) and (6, 0). the y - intercept of the first parabola is (0, -12). the y - intercept of the second parabola is (0, -24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

a student draws two parabolas on graph paper. both parabolas cross the x - axis at (-4, 0) and (6, 0). the y - intercept of the first parabola is (0, -12). the y - intercept of the second parabola is (0, -24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Answer

Explanation:

Step1: Identify the y - intercepts

The y - intercept of the first parabola is $y_1=- 12$. The y - intercept of the second parabola is $y_2=-24$.

Step2: Calculate the positive difference

The positive difference $d=\vert y_1 - y_2\vert=\vert-12-(-24)\vert$. First, simplify the expression inside the absolute - value: $-12-(-24)=-12 + 24 = 12$.

Answer:

12.0