WebAbout Graphing Quadratic Functions. Quadratic function has the form $ f(x) = ax^2 + bx + c $ where a, b and c are numbers. You can sketch quadratic function in 4 steps. I will explain these steps in following examples. Web1st step. All steps. Final answer. Step 1/3. Given that the function y = x 4 − 6 x − 6 and the objective is to determine the number of turning points in the graph. Explanation: Remember that the number of turning points does not exceed one less than the degree of the polynomial. Consider that the given function is as follows:

Solved Graph y=x^4 - 6x-6 on [-8,8]by[-20,10]. b)how many

WebSince (x+1) is squared, it has multiplicity 2, which means there's two of them in the factor list. This results in the line of the graph just barely touching zero, rather than crossing it. So you're looking for a graph with zeros at x=-1 and x=2, crossing zero only at x=2. WebFree Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step how to say good evening in norwegianyyy

Check: The graph of y=x^3+x^2-6x is shown.

WebApr 23, 2024 · Explanation: First step is finding the first derivative of f. f (x) = 6x −x2. f '(x) = 6 − 2x. Hence: f '( − 1) = 6 +2 = 8. The value of 8's significance is that this is the gradient of f where x = − 1. This is also the gradient of the tangent line that touches the graph of f at that point. So our line function is currently. WebAnswered by vanprimo. (1) The graph of f (x) = 3x² - 6x is a parabola that opens upwards. Its vertex can be found by completing the square: f (x) = 3 (x² - 2x + 1) - 3 = 3 (x - 1)² - 3. Therefore, the vertex is at (1, -3). The axis of symmetry is x = 1. To sketch the graph, we can plot the vertex and a few additional points, such as the x ... WebApr 22, 2024 · To graph the equation x^2-6x+11 by hand, it is easiest to find a) the vertex, and b) one additional point. The vertex can be found by using these steps: x_"coordinate" = -b/(2a) for y=ax^2+bx+c So x_"coordinate" = -(-6)/(2 * 1) = 3 Vertex: (3, y) Then (3)^2-6(3)+11=2 So Vertex: (3, 2) For the next point, use any x integer value, i.e. 5 (5)^2-6 ... how to say good evening in ukraine