Nov 12, 2024 · To find the equation of the quadratic function with the vertex at (4,9) that passes through the point (6,−3), we use the vertex form of a quadratic equation, which is: f (x) = a(x − …

Feb 25, 2025 · To find the vertex of the quadratic function y = x2 + 2x + 18, we use the vertex formula, which is derived from the standard form of a quadratic equation y = ax2 + bx +c.

Mar 16, 2025 · The vertex formula x = −2ab is a standard method in algebra for finding the vertex of any quadratic function, which confirms the correctness of the applied procedures and …

Oct 19, 2024 · The vertex of the quadratic function is (3, -1), and the axis of symmetry is x = 3. The function has a minimum value of -1 at the vertex. The graph is a parabola opening upwards.

Mar 17, 2025 · To find the vertex of the quadratic function y = 3x2 −12x + 13, we use the vertex formula for quadratic equations. The standard form of a quadratic equation is y = ax2 + bx + c.

Feb 19, 2025 · For a different quadratic function like 2 8 10, you would identify the coefficients, find the x-coordinate of the vertex using the same method, and then substitute it back to find …

Feb 12, 2025 · To find the vertex of the quadratic equation −x2 + 18x − 75, we use the formula for finding the vertex of a parabola given in the standard form ax2 + bx + c.

Oct 11, 2024 · The process of identifying the vertex using the vertex form of a quadratic function is standard in algebra, and this method consistently yields accurate results for finding the vertex.

Oct 28, 2024 · Let's work through the problem step by step for the quadratic function f (x) = x2 −8x + 12. (a) Find the vertex The vertex of a quadratic function given by f (x) = ax2 +bx + c can be …

Oct 25, 2024 · The method of finding the vertex of a parabola is widely covered in algebra textbooks and corresponds with the mathematical concept that the vertex of a quadratic …