Transformations

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Which function represents this graph?

• $y=\left(x-3\right)^2+5$

• $y=-3\left(x+2\right)^2-1$

• $y=\frac{1}{4}\left(x-1\right)^2+2$

• $y=\left(x+5\right)^2-3$

Which function represents this graph?

• $y=\left(x-3\right)^2+5$

• $y=-3\left(x+2\right)^2-1$

• $y=\frac{1}{4}\left(x-1\right)^2+2$

• $y=\left(x+5\right)^2-3$

Which function represents this graph?

• $y=\left(x-3\right)^2+5$

• $y=-3\left(x+2\right)^2-1$

• $y=\frac{1}{4}\left(x-1\right)^2+2$

• $y=\left(x+5\right)^2-3$

Which function represents this graph?

• $y=\left(x-3\right)^2+5$

• $y=-3\left(x+2\right)^2-1$

• $y=\frac{1}{4}\left(x-1\right)^2+2$

• $y=\left(x+5\right)^2-3$

Which function represents this graph?

• $y=\left|x-2\right|+3$

• $y=3\left|x-1\right|-2$

• $y=-\frac{1}{2}\left|x+3\right|+4$

• $y=-4\left|x+5\right|-2$

Which function represents this graph?

• $y=\left|x-2\right|+3$

• $y=3\left|x-1\right|-2$

• $y=-\frac{1}{2}\left|x+3\right|+4$

• $y=-4\left|x+5\right|-2$

Which function represents this graph?

• $y=\left|x-2\right|+3$

• $y=3\left|x-1\right|-2$

• $y=-\frac{1}{2}\left|x+3\right|+4$

• $y=-4\left|x+5\right|-2$

Which function represents this graph?

• $y=\left|x-2\right|+3$

• $y=3\left|x-1\right|-2$

• $y=-\frac{1}{2}\left|x+3\right|+4$

• $y=-4\left|x+5\right|-2$