calculator, sketch the parabola \( y=(x-1)(x+5) \). Find the \( y \) value of the \( y \) - intercept. \( y=-5 \) Find the \( x \) values of the \( x \) - intercepts. Write all solutions on the same line separated by a comma. \( \quad x=1,-5 \) State the equation of the axis of symmetry. \( \quad x=-2 \) Find the coordinates of the turning point. Vertex \( =(\square, ~ \)

To sketch the parabola \( y=(x-1)(x+5) \), you can rewrite it in standard form by expanding it: \( y=x^2 + 4x - 5 \). The vertex can be found by using the formula \( x = -\frac{b}{2a} \), which gives you \( x = -2 \). Substitute this back into the equation to get the \( y \) value, leading to the turning point coordinates of \((-2, -9)\). Remember, the intercepts help sketch the parabola symmetrically! You have the \( y \)-intercept at \(-5\) and \( x \)-intercepts at \(1, -5\). The vertex also tells you where the parabola reaches its minimum, so plotting these points accurately will help in visualizing the correct shape of the curve!