Answer:
An oblonger parabola translated left, rotated down and shifted up
Step-by-step explanation:
1) The parent function of [tex]y=-(2x+6)^{2} +3[/tex] is [tex]y=x^{2}[/tex] since it preserves its basic characteristics of a quadratic function and it is the simplest quadratic function, then it is a fair to say that.
2) Looking at the graph below [tex]y=-(2x+6)^{2} +3[/tex], this is a geometric transformation of [tex]y=x^2[/tex]
When we do [tex]y= -(2x+6)^2[/tex], we oblong the parabola two times, translate it to left due to its addend +6 and rotate it down since there is a negative sign.
Finally, by adding +6 we shift it up.
Check the graph below, please.
