Question

The graph of y = 2x2 shifted 4 units to the left​

Answer 1

Answer:

Moving left and right

In this graph, f (x) has been moved over three units to the left: f (x + 3) = (x + 3)2 is f (x) shifted three units to the left. This is always true: To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left.

Answer 2

Answer:

Shifting 4 units to the left will move the graph, making it symmetric with respect to x = -4 line i.e. 4 units left to the Y-axis.

Step-by-step explanation:

$y = 2x^2$

$=> x^2 = \frac{y}{2}$

y cannot be negative and for every value of y, there is identical positive and negative value of x.

Therefore, the graph is symmetric with respect to x = 0 i.e. the Y-axis.

Now, shifting 4 units to the left will move the graph, making it symmetric with respect to x = -4 line i.e. 4 units left to the Y-axis.