WebJul 10, 2024 · symmetry is parallel to the x-axis, it has an equation of (y - k)² = 4p (x - h) - The focus is (h + p, k) - The directrix is x = h - p * Lets solve the problem ∵ The equation of the parabola is y = 1/8 (x² - 4x - 12) - Lets … WebUse some paper and pencil for the next steps, like what I did: f (x) = -1/3 x^2 - 4/3 x + 5/3 For starters, we can find the vertex first. Let's find the axis of symmetry: x = (--4/3)/ (2 (-1/3)) x = -2 Now we plug -2 into the formula, and f (x) = 3. Graph (-2,3), and now, we use the quadratic formula to find the zeroes, which are -5 and 1.
A parabola can be drawn given a focus of (−8,0) and a directrix of y…
WebWhat are the coordinates of the vertex? 11. State whether you agree or disagree with each statement. Explain why. Ca) All quadratic relations of the form y = ax² + bx + chave two zeros. b) All quadratic relations of the form y = ax² + bx + chave one y-intercept. c) All parabolas that open downward have second differences that are positive. 12 ... WebMath Advanced Math d. - A right – angled trianled ABC is inscribed in parabola y² = 4x, where A is the vertex of the parabola and /BAC = π/2. If AB = √√5, then find the area of … green and white family pictures
Answered: Use implicit differentiation to find… bartleby
Weba) Vẽ đồ thị của hàm số \(y = a{x^2}\left( {a \ne 0} \right)\) + Nhận xét về hệ số \(a\) và sự biến thiên của hàm số + Lập bảng giá trị tương ứng của \(x\) và \(y\) + Xác định được các điểm mà đồ thị đi qua, vẽ đồ thị. WebWhat is the maximum vertical distance between the line y = x + 12 and the parabola y = x2 for −3 ≤ x ≤ 4? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. WebConsider the parabola y = 4x − x2. (a) Find the slope of the tangent line to the parabola at the point (1, 3). (b) Find an equation of the tangent line in part (a). y = (c) Graph the parabola and the tangent line. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer green and white fitted hat