How do i graph this parabola

Question

Graph the parabola (do not place any dots) then fill in the blanks about the vertex, any intercepts, the domain, and range. Enter intercepts as ordered pairs, aka points.

I know all the information like

Vertex=(-5,4)

Y-intercept = (0,-21)

X-intercept = (-7,0)(-3,0)

Domain =(-oo,oo)

Range = (-oo,4]

Equation of the Axis of Symmetry :x=-5

How do i go about graphing this information without placing any dots on my paper.

Answer 1

the negative sign before the x makes it a downward opening parabola with maximum point at the vertex (-5,4).

it's symmetric about the line x=-5. Put a mirror on the line and right & left sides are like identical reflections of each other.

Just draw a smooth parabola shaped curve through the 4 given points making it cross the x axis at x=-7 and x=-3 and crossing the y axis at y=-21. The parabola extends downward forever, so just indicate that by drawing part of it and putting an arrow sign pointing dowward at the ends of the two branches of the parabola