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...
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). ...
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....
Intercept Form y = a(x-p)(x-q) Vertex Form a(x-h)+k Parent Function The most basic function of a family of functions, or the original function before a transformation is applied. Minimum Value The lowest point of a parabola. 最好的學習方式。免費註冊。 註冊代表你接受Quizlet的服務條款...
A root is nothing but the x-coordinate of the x-intercept of the quadratic function. The graph of a quadratic function in each of these 3 cases can be as follows.Important Notes on Discriminant:The discriminant of a quadratic equation ax2 + bx + c = 0 is Δ OR D = b2 − 4ac....
2. Axis of Symmetry: the same as completed squared form , i.e.3. Open direction: the same as beforeREMARK: To graph a quadratic function, DO 1-3 (and 4 if necessary)Example 5Exercise 6Exercise 74. Intercepts a) y-intercept: the same as before b) x-intercept: by finding out h ...
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...