contestada

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

fxx3x4 and gx13x3x4 the graphs of each are shown here Which graph represents which polynomial function explain how you know class=

Respuesta :

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

Otras preguntas