Which of the following is the equation of the horizontal asymptote for \[f(x) = \frac{x^2 + 3}{x^2 – 1}?\]

The graph of \( f(x) = \frac{1}{x} \) is transformed into \( f(x) = \frac{1}{2x} \). What happens to the graph?

What is the \( y \)-intercept of the polynomial \( f(x) = x^4 – 5x^3 + 3x – 7 \)?

What is the focus of the parabola given by \((x-5)^2=-24(y+1)\)?

A parabola has vertex \((2,0)\) and directrix \(x=-6\). What is its equation?

If \( P(x) = 4x^2 – 12x + 9 \), what are the roots of \( P(x) \)?

Which of the following functions has an asymptote at \( y = 1 \)?

What is the horizontal asymptote of \[f(x) = \frac{3x^2 + 5}{x^2 – 4x + 7}?\]

What is the equation of the parabola with focus \(F(0,5)\) and directrix \(y=-5\)?

Which are zeroes of the polynomial shown?  The x-axis spans from negative 10 to 10, and the y-axis spans from below negative 100 to above 200. The x-axis has a scale of 5 in increments of 1 and the y-axis has a scale of 100 in increments of 20. The red curve represents a polynomial function with four turning points. It starts from the bottom left of the third quadrant and rises sharply to a local maximum near (negative 3.5, 200). It then decreases to a local minimum to a coordinate with x values roughly halfway between 0 and negative 1 and y value halfway between negative 140 and negative 150. It rises again to another local maximum around (2, 70), decreases to another local minimum near (4, negative 150), and then increases steeply toward positive infinity.