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 StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
Find the equation of the following parabola which has vertex at (4,−1) and 𝑥-intercepts at 𝑥=12√+4 and 𝑥=4−12√.
What are the x-intercepts and the vertex of the parabola represented by y = 2x2 - 5x -12?
Find the coordinates of the vertex of the graph of the following equation: 𝑦=(𝑥−4)(𝑥+2)y=(x−4)(x+2)
The equation of the circle drawn with the focus of the parabola (x – 1 )2 – 8y = 0 as its centre and touching the parabola at its vertex is :
Find the coordinates of the vertex of the graph of the following equation: 𝑦=𝑥(𝑥+3)y=x(x+3)