122k views
5 votes
PLEASE HELP!!!

Describe how the quadratic function compares to the parent function.
y=-x^2+6

User Jim Jose
by
7.9k points

1 Answer

2 votes
The parent function of the quadratic function is y = x^2.

The negative coefficient in the quadratic function y = -x^2 + 6 reflects the function about the x-axis, which means the graph of the function is an upside-down parabola that opens downwards.

The coefficient of 6 in the function shifts the graph of the function upward by 6 units, which means the vertex of the parabola is at (0,6) instead of (0,0) as in the parent function.

Overall, the quadratic function y = -x^2 + 6 is a transformed version of the parent function y = x^2 that is reflected about the x-axis and shifted upward by 6 units.
User Pitaridis
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories