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.

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.

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 − h)2 + k Here, …

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 calculations.

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.

Oct 25, 2024 · The coordinates of the vertex of the quadratic function y = 5x2 + 20x +35 are (−2,15). This is found by using the vertex formula and substituting back into the original equation. Thus, the …

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 the y-coordinate.

Jun 24, 2025 · The vertex of the parabola defined by the function f (x) = 2x2 − 16x +5 is located at the coordinates (4,−27). This was determined using the vertex formula for quadratic functions. First, we …

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 found using …

Feb 12, 2025 · This shows how to apply the same steps to different quadratic equations and arrive at their vertices. The steps outlined to find the vertex are grounded in the standard methods used to …