Determine the exact $x$-intercepts of $y = (x + 4)^2 − 7$.

1. What are the approximate $x$-intercepts? Sketch a graph of the parabola.

2. Refer to the Math Notes box in this lesson. Are the solutions to the equation $0 = (x + 4)^2 - 7$ rational or irrational numbers? Explain.

   Hint (b):

   Is $7$ a perfect square?

3. What are the coordinates of the vertex of the parabola? Is your answer exact or approximate?

   Answer (c):

   $(−4, −7)$