Jun 18, 2025 · The vertex of the quadratic function y = −5x2 − 20x − 31 is (−2,−11). This point indicates the maximum value of the parabola since it opens downwards. The vertex form was derived by …

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 …