Alg 2 Benchmark 2 Review 1

What is the x-intercept of the graph $$y=\left|2x-3\right|$$ ? (Enter only the x-value; not the ordered pair).

(a)  

On what interval is $$y=-\left|3x+4\right|$$ decreasing?

Use the image to solve the equation $$x^2-3=\left|\frac{1}{2}x\right|$$ . Select all possible solutions.

What is the vertex of the graph of $$y=x^2+2x-2$$ ? Write your answer as an ordered pair with NO SPACES.

(a)  

A baseball is flung from a pitching machine to replicate a fly ball to help outfielders practice. The function $$h\left(x\right)=-15x^2+135x+3$$ models the height of the baseball after x seconds. After how many seconds will the ball hit the ground? Round to the nearest whole number of seconds.

(a)  

To solve the equation $$x^2-8x=9$$ by completing the square, what number will I add to both sides of the equation?

Solve $$x=\sqrt[]{-25}$$

What kind of function is this?

Simplify:  $\left(-x^2-6\right)-\left(2x^2+3x+5\right)$ 

What is the remainder when you divide $$\frac{6x^2-4x+2}{x-5}$$ ?