So when the discriminant of a quadratic equation is zero, it has only one real root.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....
A parabola can have no x-intercepts, one x-intercept, or two x-interceptsRecall that if the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the equation are called the roots of the function. These are the same roots that are observable ...
6. What are the three methods for solving a quadratic equation, 6. that is, for finding the roots?1. Factoring. 2. Completing the square. 3. The quadratic formula.We begin with the method of factoring. In the next Topic, we will present both Completing the square and The quadratic ...
(x + 1) is the least common denominator of all the fractions in the equation. Remember, every term of the equation must be multiplied by (x + 1). Check the solutions in the original equation. Check in the original equation to make sure you do not obtain a denominator with a value of...
The values of the x-intercepts of a quadratic equation must satisfy the quadratic equation as these two points are on the graph of the quadratic equation.Answer and Explanation: A quadratic equation takes the form y=ax2+bx+c. We are given that the quadratic equation ...
x-intercept: 3. Note the graph opens upward: Example 2:Graph where Solution 1. Locate vertex: Vertex Formula: Thus the vertex is (1,-5) 2. Intercepts y-intercept: x-intercept: no real solutions! Thus, no x-intercept 3. Note the graph opens downward: ...
determine the equation of a quadratic functionconditions: x-intercept 3, and passing through the point (1,-2) 相关知识点: 试题来源: 解析 It sounds like that it passes thru 3 points: (0, 0), (3, 0), (1, -2)From the first 2 points, it can be expressed in the form of y = ...
It may also be the case that the graph of a parabola intercepts the x-axis on one point or doesn't intercept it. How to find the y-intercept in a parabola? A quadratic equation of the form y = ax^2 + bx + c intercepts the y-axis at (0, c). To verify this, simply plug x...
A linear equation has no exponent. A quadratic equation has a highest exponent of two. An exponential equation has a variable in the exponent. What is the difference between a linear, quadratic, and exponential function? A linear function forms a line. A quadratic function forms a parabola. ...
An equation of a quadratic function having with a y‑intercept of − 48 and zeros of − 3 and 2 isA: f(x) = x= − x − 48 B: f(x) = x= + x − 48 C: f(x) = 8x= − 8x − 48 D: f(x) = 8x= + 8x − 48 相关知识点: 试题来源: 解析 DNone ...