Number and Algebra
Functions
Geometry and Trigonometry
Statistics and Probability
Calculus
Use the quadratic formula to find the roots of y=x2−6x+9y = x^2 - 6x + 9y=x2−6x+9 and state the y-intercept.
Use the quadratic formula to find the x-intercepts (roots) of the function y=2x2−10x+12y = 2x^2 - 10x + 12y=2x2−10x+12, and state its y-intercept.
Find the roots of y=−3x2+15x−18y = -3x^2 + 15x - 18y=−3x2+15x−18 using the quadratic formula, and give the y-intercept.
Using the quadratic formula, find the roots of y=9x2+12x+4y = 9x^2 + 12x + 4y=9x2+12x+4 and state the y-intercept.
Use the quadratic formula to find the x-intercepts of y=5x2−13x+6y = 5x^2 - 13x + 6y=5x2−13x+6 and state the y-intercept.
For the function y=x2+4x+8y = x^2 + 4x + 8y=x2+4x+8, use the quadratic formula to determine the roots and give the y-intercept.
Use the quadratic formula to find the roots of y=4−2x−x2y = 4 - 2x - x^2y=4−2x−x2 and state the y-intercept.
Use the quadratic formula to find the roots of y=7x2−x−10y = 7x^2 - x - 10y=7x2−x−10 and give the y-intercept.
Find the x-intercepts using the quadratic formula for y=12x2+3x−4y = \tfrac{1}{2}x^2 + 3x - 4y=21​x2+3x−4, and state the y-intercept.
For y=3x2+2x+5y = 3x^2 + 2x + 5y=3x2+2x+5, use the quadratic formula to find the roots and state the y-intercept.
Given y=2(x−3)2−8y = 2(x-3)^2 - 8y=2(x−3)2−8, use the quadratic formula to find the roots and state the y-intercept.
For y=−0.25x2+x+1y = -0.25x^2 + x + 1y=−0.25x2+x+1, use the quadratic formula to find the roots and state the y-intercept.
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Question Type 4: Calculating the vertex and axis of symmetry of quadratic functions
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Question Type 6: Calculating roots of polynomial equations using technology