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.

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 …

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. …

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 vertex of the quadratic function g(x) = −2(x − 2)2 +2 is (2,2) and the axis of symmetry is x = 2. The graph is concave down, indicated by the negative coefficient in front of the squared term. …

Oct 2, 2023 · The function you provided is a quadratic function: f (x) = x**2 -10x +61,** which follows the general form of a quadratic equation, ax**2 +bx +c**. To find the vertex, we first …

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.

Jan 19, 2025 · To find the equation of a quadratic function that has its vertex at (4, 5) and passes through the point (3, 2), we can use the vertex form of a quadratic function.

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: