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 $y = \tfrac{1}{2}x^2 + 3x - 4$, 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.