MCR3U CHAPTER 3 REVIEW

Determine the axis of symmetry of the function $$f\left(x\right)=-5\left(x-1\right)\left(x+1\right).$$

Determine the vertex of the function $$f\left(x\right)=-2\left(x+1\right)\left(x-5\right).$$

Determine the zeros of the function $$f\left(x\right)=2\left(x-3\right)^2-8.$$

Which of the following statements about the function $$f\left(x\right)=-4\left(x+2\right)\left(x-6\right)$$ is false?

Determine the vertex of the function $$f\left(x\right)=x^2-6x-3$$ by completing the square.

Determine the vertex of the function $$f\left(x\right)=-3x^2-12x+2$$ by completing the square.

Determine the vertex of the function $$f\left(x\right)=2x^2+7x-1$$ by completing the square.

The trajectory of a ball thrown in the air can be modelled by the function $$h\left(t\right)=-2t^2+2.5t+8,$$ where $$h$$ is height of the ball in metres after $$t$$ seconds. What is the maximum height of the ball to the nearest tenth of a metre?

Determine the zeros of the function $$f\left(x\right)=x^2+5x-3$$ to the nearest tenth.