SMART Board E-Lessons for Algebra 2: Quadratic Functions in Intercept Form
A quadratic function can be in different forms: standard form, vertex form, and intercept form. Here are the general forms of each of them:Standard form: f(x) = ax2 + bx + c, where a ≠ 0. Vertex form: f(x) = a(x - h)2 + k, where a ≠ 0 and (h, k) is the vertex...
Find the yy-intercept of a quadratic function. Find the real-number xx-intercepts, or roots of a quadratic function using factoring and the quadratic formula.Much as we did in the application problems above, we also need to find intercepts of quadratic equations for graphing parabolas. Recall ...
Figure 4 shows the graph of the quadratic function written in general form asy=x2+4x+3y=x2+4x+3. In this form,a=1,b=4a=1,b=4, andc=3c=3. Becausea>0a>0, the parabola opens upward. The axis of symmetry isx=−42(1)=−2x=−42(1)=−2. This also makes sense because...
Write the quadratic function in the form f(x)=a(x−h)2+k. Then, give the vertex of its graph. f(x)=2x2−4x+4Quadratic Equation:The algebraic equations having their highest power equal to '2' are known as quadratic equations....
INTERCEPTFORMOFQUADRATICEQUATION y=a(x-p)(x-q) Thexinterceptsarepandq. Theaxisofsymmetryishalfwaybetween(p,0)and(q,0). GRAPHINGAQUADRATICFUNCTIONININTERCEPTFORM (-2,0) (1,9) (4,0) Axisofsymmetry x y Exampley=-(x+2)(x-4). ...
英语翻译write the following quadratics in vertex form.Then find the vertex,line of symmetry and y-intercept.Also solve the quadratic and graph the function. 答案 翻译如下:把下列二次方程式(多为一元二次方程)写成顶点形式.然后找到顶点,对称轴(或对称线)和y的截距.同时解决方程并且将函数画在表格上....
The graph of function in part b) has one x intercept at (1,0) . c) We solve -2 x 2 + 2 x - 2 = 0 discriminant D = 2 2 - 4(-2)(-2) = -12 No real solutions for the above equation No x intercept for the graph of function in part c). Interactive...
When to Use a Quadratic Function Quadratic functions can be highly useful when trying to solve any number of problems involving measurements or quantities with unknown variables. One example would be if you were a rancher with a limited length of fencing and you wanted to fence in two equal-si...
Answer to: Write the quadratic function in standard form: f(x) = (x - 3)^2 By signing up, you'll get thousands of step-by-step solutions to your...