Find the equation of the following parabola which has vertex at (4,−1) and 𝑥-intercepts at 𝑥=12√+4 and 𝑥=4−12√.
Question
Solution 1
The equation of a parabola in vertex form is given by y = a(x-h)² + k, where (h, k) is the vertex of the parabola.
Given that the vertex of the parabola is (4, -1), we can substitute h = 4 and k = -1 into the equation to get y = a(x-4)² - 1.
The x-intercepts of the parabola are given by x = 12√ + Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
What are the x-intercepts and the vertex of the parabola represented by y = 2x2 - 5x -12?
The graph of the quadratic is a parabola that passes through the points , , and . What is the -coordinate of the vertex of the parabola?
If the slope of parabola 𝑦=𝐴𝑥2+𝐵𝑥+𝐶y=Ax 2 +Bx+C, where 𝐴,𝐵,𝐶∈𝑅A,B,C∈R at points (3, 2) and (2, 3) are 16 and 12 respectively.Calculate the value of 𝐴A.
The vertex form of the equation of a parabola is y = 3(x - 4)2 - 22.What is the standard form of the equation?
Which of the following represents the x-intercepts and the vertex of the quadratic relation y = −x2 − 6x + 27?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.