Question

f(x)=(x+3)(x-4) and g(x)=1/3(x+3)(x-4). the graphs of each are shown here. Which graph represents which polynomial function? explain how you know

Answer 1

This is about interpretation of quadratic equation graphs.

- The parabola that is continuous represents f(x) = (x+3)(x-4)

- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)

- This is because calculating their y-intercept respectively corresponds with what is on the graph.

• We are given;

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