Choose the three true statements about the graph of the quadratic function y = x2 − 3x − 4.

Question

Options
A) The graph is a parabola with a minimum point.
B) The graph is a parabola with a maximum point.
C) The point (2, 2) lies on the graph.
D) The point (1, 6) lies on the graph.
E) The graph crosses the x-axis at x = −4and x =1.
F) The graph crosses the x-axis at x = −1and x =4.
G) The graph crosses the y-axis at y = −4.

Answer 1

because the sign of the second degree term of the polynomial (x^2) is positive, its graph is a parabola with a minimum.
So A is true.

if you fill in -1 and 4 in the equation, you get 0, ergo the graph crosses the x-axis at -1 and 4. So F is true.

For x = 0, y= -4, so the graph crosses the y-axis at -4, so G is also true.