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Vertex form is an equation of the form y=a(x-h)2+k, where (h,k) are the coordinates of the vertex and (x,y) are coordinates of a point on the parabola. To set up a vertex form problem, you need the vertex and a point on the parabola. The vertex is identified by the h and k values, while the point uses the x and y coordinates. To solve, substitute the point coordinates into the vertex form equation and solve for the coefficient a.
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The document provides steps to simplify a rational function and find its domain. It factors the numerator and denominator, finds the x-intercepts where the numerator is 0, finds the vertical asymptotes where the denominator is 0, and determines the horizontal asymptote by comparing the powers of the numerator and denominator. It then uses this information to sketch the graph and identify the domain as the intervals where the function is defined.
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Frequently asked questions
- 1. Frequently Asked Questions on vertex form Danielle
- 2. What is it Equation: y=a(x-h)2+k
- 3. Who do you have to have to set up the problem You need to have a vertex and a point
- 4. How do we know what is a vertex and what is a point The vertex is h and k the point is x and y
- 5. How do we do the problem Problem: vertex(3,8) point(4,2) Y=a(x-h)^2+k 4=a(2-3)^2+8 -8 -8 -4 (2-3)^2=1 -4 =-3=a 4=-3(2-3)^2+8