TRANSFORMING PARABOLAS

Which function below matches the graph above?

• $f\left(x\right)=-\left(x+3\right)^2-5$

• $f\left(x\right)=\left(x-3\right)^2-5$

• $f\left(x\right)=\left(x+3\right)^2-5$

• $f\left(x\right)=\left(x+5\right)^2-3$

Which function below matches the graph above?

• $f\left(x\right)=-\left(x-3\right)^2+4$

• $f\left(x\right)=\left(x-4\right)^2+3$

• $f\left(x\right)=\left(x-3\right)^2+4$

• $f\left(x\right)=-\left(x-4\right)^2+3$

Which function below matches the graph above?

• $f\left(x\right)=\left(x+2\right)^2+2$

• $f\left(x\right)=2\left(x+1\right)^2$

• $f\left(x\right)=2x^2+1$

• $f\left(x\right)=\frac{1}{2}\left(x+1\right)^2$

Which function below matches the graph above?

• $f\left(x\right)=\frac{1}{2}\left(x-4\right)^2-7$

• $f\left(x\right)=\frac{1}{2}\left(x-7\right)^2+4$

• $f\left(x\right)=\frac{1}{2}\left(x+4\right)^2-7$

• $f\left(x\right)=\frac{1}{2}\left(x+8\right)^2-7$

Which function below matches the graph above?

• $f\left(x\right)=-3\left(x-1\right)^2+9$

• $f\left(x\right)=-\frac{1}{3}\left(x-1\right)^2+9$

• $f\left(x\right)=-3\left(x+1\right)^2+9$

• $f\left(x\right)=-\frac{1}{3}\left(x+1\right)^2+9$

Which function below matches the graph above?

• $f\left(x\right)=-\left(x-3\right)^2+1$

• $f\left(x\right)=-\left(x+3\right)^2+1$

• $f\left(x\right)=-\left(x+1\right)^2-3$

• $f\left(x\right)=-\left(x-1\right)^2+3$

Which function below matches the graph above?

• $f\left(x\right)=\left(x-9\right)^2$

• $f\left(x\right)=\left(x+9\right)^2$

• $f\left(x\right)=x^2+9$

• $f\left(x\right)=x^2-9$

Which letter determines if a parabola opens up or down in the form y = a(x-c)² +d?

• a
• x
• c
• d

What happens to the parabola when the "a" value is greater than 1?

• Graph moves UP
• Graph gets WIDER
• Graph moves DOWN
• Graph gets NARROWER

Which of the following will be a parabola that opens down?

• y = x² -1
• y = -x²
• y = -x -1
• y = 3x²