Subjects algebra

Parabola Graph Af6556

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1. The problem is to generate a graph of a function and provide its answer. 2. Since no specific function was given, I will assume a simple example function: $y = x^2$. 3. The formula for this function is $y = x^2$, which is a parabola opening upwards. 4. Important rules: - The vertex is at the origin $(0,0)$. - The function is symmetric about the y-axis. - The function is always non-negative for all real $x$. 5. Intermediate work: - For $x = -2$, $y = (-2)^2 = 4$. - For $x = 0$, $y = 0^2 = 0$. - For $x = 2$, $y = 2^2 = 4$. 6. The graph is a parabola with vertex at $(0,0)$ and points $(-2,4)$ and $(2,4)$. 7. Final answer: The function $y = x^2$ is graphed as a parabola opening upwards with vertex at the origin.