IB Mathematics Applications & Interpretation Question Type 5: Working with the Quadratic Formula Exercises

For the function $f(x)$, determine the roots of the equation $f(x)=0$ using the quadratic formula and state the $y$-intercept of the graph of $f$.

For $y=-0.25x^2+x+1$, use the quadratic formula to find the roots and state the $y$-intercept.

Find the roots of $y=-3x^2+15x-18$ using the quadratic formula, and give the y-intercept.

Given $y=2(x-3{)}^2-8$, use the quadratic formula to find the roots and state the $y$-intercept.

Use the quadratic formula to find the roots of $y=4-2x-x^2$ and state the $y$-intercept.

Use the quadratic formula to find the zeros of the function $f(x)=7x^2-x-10$ and state the $y$-intercept.

For the function $y=3x^2+2x+5$, use the quadratic formula to find the roots and state the $y$-intercept.

Using the quadratic formula, find the roots of the equation $9x^2+12x+4=0$ and state the $y$-intercept of the graph of $y=9x^2+12x+4$.

Find the x-intercepts using the quadratic formula for $y=\frac{1}{2}{x}^2+3x-4$, and state the y-intercept.

Use the quadratic formula to find the roots of the equation $x^2-6x+9=0$ and state the $y$-intercept of the function $y=x^2-6x+9$.

Use the quadratic formula to find the $x$-intercepts (roots) of the function $y=2x^2-10x+12$, and state its $y$-intercept.

Use the quadratic formula to find the x-intercepts of $y=5x^2-13x+6$ and state the y-intercept.