What is the equation of the parabola that opens upwards with vertex at the origin and passes through the point (2, 8)?
Practice Questions
1 question
Q1
What is the equation of the parabola that opens upwards with vertex at the origin and passes through the point (2, 8)?
y = 2x^2
y = x^2
y = 4x^2
y = 8x^2
The vertex form of a parabola is y = ax^2. Since it passes through (2, 8), we have 8 = a(2^2) => 8 = 4a => a = 2. Thus, the equation is y = 4x^2.
Questions & Step-by-step Solutions
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Q
Q: What is the equation of the parabola that opens upwards with vertex at the origin and passes through the point (2, 8)?
Solution: The vertex form of a parabola is y = ax^2. Since it passes through (2, 8), we have 8 = a(2^2) => 8 = 4a => a = 2. Thus, the equation is y = 4x^2.
