The equation of a parabola can be expressed in either standard or vertex form as shown in the picture below. Standard Form Equation The standard form of a parabola's equation is generally expressed: $$ y = ax^2 + bx + c $$ The role of 'a' If $ a > 0 $, the parabola opens...
Finally, convert the terms inside parentheses to a squared unit of the form (x - h)^2. The value of h is equal to half the coefficient of the x term. For example, 2(x^2 - 14x + 49) - 88 becomes 2(x - 7)^2 - 88. The quadratic equation is now in vertex form. Graphing ...
Answer to: Find the standard form of the equation of the parabola that has a vertex (-2, 5) and passes through the point (0, 9). By signing up,...
Find the standard form of the equation of the parabola with the given characteristics. Vertex: (7,0) Directrix: x=4 Vertex and Directrix: The value of the focal length is required to compute the standard equation of the parabola, and it is obtai...
Step - 3: Find 'k' using the formula: k = f(-b/2a) = f(2) = 2(2)2 - 8(2) + 3 = 8 - 16 + 3 = -5. Step - 4: Substitute the values into the vertex form: f(x) = 2 (x - 2)2 - 5.Converting Standard Form of Quadratic Function Into Intercept FormA...
You can also determine the axis of symmetry by reviewing the standard and vertex forms of a parabola. To determine where the axis of symmetry is located when examining the standard form, you will use the following formula: x=−b2a. Once you have found this value, you can draw a...
【解析】Because the verter of the parabola is at(h,k)=(1,2), the equation has the formf(x)=a(x-1)^2+1 . Substitute for h and k in standard form.Because the parabola passes through the point(,0), it follows that f(0)=0. So,0=a(0-1)2+2→a=-2 Substitute o for ; so...
Find the standard form of the equation of the parabola.Vertex: (-3,2); focus (-1,2) ( ) A. (y-2)^2=8(x+3) B. (y+2)^2=8(x-3) C. (x-2)^2=8(y+3) D. (x+2)^2=8(y-3) 相关知识点: 试题来源: 解析 A
Learn what the c value represents in a quadratic expression written in the ax^2+bx+c form. See how to determine what is the value of c given a...
1. What bit of information does the vertex form give you that the standard form doesn't give you? Whether the parabola opens up or down. The axis of symmetry. The vertex point. The x-intercept. 2. What is the vertex of this equation?