This is about interpretation of quadratic equation graphs.
<u><em>- The parabola that is continuous represents f(x) = (x+3)(x-4)</em></u>
<u><em>- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)</em></u>
<u><em>- This is because calculating their y-intercept respectively corresponds with what is on the graph.</em></u>
a) f(x) = (x+3)(x-4)
Let us confirm the x-intercept.
x-intercept here is when y = 0.
Thus, at y = 0; x + 3 = 0 and x - 4 = 0
Thus, at y = 0; x = -3 and y = 4
- Let's now find the y-intercept;
y-intercept occurs when x = 0
Thus; y - intercept = (0 + 3)(0 - 4)
y - intercept = -12
- Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.
- This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)
Read more at; brainly.in/question/18896888