Parabolas 10
In this lesson on parabolas, the instructor explains how to determine whether a parabola goes up or down based on the coefficient of x squared. They then demonstrate how to find the axis of symmetry using the formula x = -b/2a, or by recognizing that if there is no x term, the axis of symmetry is x = 0. The instructor also explains how to find the vertex point and y-intercept, which are important for graphing the parabola. Through a series of examples, students will learn how to apply these concepts to different parabolic equations.
Parabolas Part 10; Given the equation of a parabola that is a function, examples stating if the parabola goes up or down, the equation of the axis of symmetry, the Vertex point, and y-intercept.
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- How do you know whether a parabola opens up or down from the equation?
- How can you find the equation of the axis of symmetry from the equation of a parabola?
- What is the vertex point of a parabola and how do you find it?
- How do you find the y-intercept for a parabola from the equation?
- What is the vertex point, y-intercept, and equation of the axis of symmetry of y = 3x^2 - 5?
- What is the vertex point, y-intercept, and equation of the axis of symmetry of f(x) = -2(x - 3)^2 + 7?
- What is the vertex point, y-intercept, and equation of the axis of symmetry of y = -x^2 + x + 2?
- What is the vertex point, y-intercept, and equation of the axis of symmetry of f(x) = 2x^2 - 4x + 1?
- What is the vertex point, y-intercept, and equation of the axis of symmetry of y = (1/2)x^2 + 11?
- What is the vertex point, y-intercept, and equation of the axis of symmetry of f(x) = -(1/2)x^2 - 2x + 6?
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Staff Review
This lesson goes through 6 different example functions and explains how to determine whether the parabola would go upward or downward when graphed by looking at the equation. Also, you will learn how to find the equation for the axis of symmetry, how to find the vertex point, and how to find the y-intercept. Some of the equations are in standard form and some in vertex form. The equation of the axis of symmetry for the 6th problem should be x = -2.
