14. Determine the y-intercept of the quadratic function f(x) = x^2+ 8x - 13 please give detailed steps/walkthrough!! thank you

When we talk about Intercept... We refer to the place where the line touches or Crosses a Mentioned axis.

In this question... We needed the y - Intercept

Know This: At the intercept of a mentioned axis...The other axis is zero at that point.

In other words... If we're asked for intercept at x-axis ... The y value at that point is zero and Vice Versa

So To find the y Intercept... the x value at this point is zero(0).

With this in Mind...

substitute x = 0 into the quadratic eqn

f(x) = 0² +8(0) - 13

f(x) = -13

This is Our Y Intercept .

To get the x intercept(if asked)

substitute y = 0 and solve

0 = x² + 8x - 13

This is a quadratic equation

Solving this would get you two value and those values would be your x intercept.

I hope it helps.

Have a great day.

step-by-step explanation:

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: