Quadratics & Polynomials Test Review

Which one are we looking for?

Jaiden wanted to know the initial height of a baseball when it was hit at home plate.

Which one are we looking for?

Darrell is trying to find out how many seconds it will take a golf ball to get to its highest point after being hit on the golf course.

Which one are we looking for?

Elliot wants to know how high the soccer ball will get if he kicks it straight up in the air.

Which one are we looking for?

Isabella wants to know how long her toy rocket will be in the air after she lights the fuse to launch it from a 1.5-foot launch pad.

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

What is the Domain?

What is the Range?

What was the initial height of the ball?

How high is the ball at 1 seconds?

What is the equation of the parabola?

What is the equation of the parabola?

What is the vertex?

What is the domain and range of the quadratic function?

Which quadratic equation models the parabola shown?

What is the equation of the parabola?

Which of the following describes the roots of the polynomial function: $$f\left(x\right)=\left(x-3\right)^4\left(x+6\right)^2$$  

Which of the following describes the roots of the polynomial function: $$f\left(x\right)=\left(x-3\right)^4\left(x+6\right)^2$$  

Is the leading coefficient positive or negative?

Is the degree even or odd?

$$f\left(x\right)=\left(x-3\right)^4\left(x+6\right)^2$$  

Which of the following describes the end behavior of $$f\left(x\right)=\left(x-3\right)^4\left(x+6\right)^2$$  

Which of the following describes the leading coefficient and degree of the function?

Which of the following describes the leading coefficient and degree of the function?

Which of the following describes the leading coefficient and degree of the function?

Which of the following describes the leading coefficient and degree of the function?

Which of the following describes the leading coefficient of the function?

Describe the end behavior

$$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow$$ ____

$$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow$$ ____

Describe the end behavior

$$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow$$ ____

$$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow$$ ____

Choose all EVEN degree functions

Choose all functions with a NEGATIVE leading coefficient

All polynomials have a range of $$\left(-\infty,\infty\right)$$

All polynomials have a domain of $$\left(-\infty,\infty\right)$$

How many roots does the function have?

How many intervals of increase does the function have?

What are the intervals of increase?

Remember: Look at the

Does the function have an absolute maximum?

What is the blue point?

Calculate:
 (4 + 3i)(4 − 3i)

What is the simplified form of (-9 + 5i) + (3 -2i)