Question

how is the graph of y=5x^2-4 different from the graph of y=5x^2 ?It is shifted 4 units up. It is shifted 4 units to the right. It is shifted 4 units to the left. It is shifted 4 units down.

Answer 1

Shifted four units down. When a number is at the end of the equation, it means that that number shifts up or down depending on its sign. 

Answer 2

It is shifted 4 units down

Explanation:

When we have a function the constant number that is not multiplied by a variable, in this case, 4 in the first function, indicates where the function will intercept the y-axis, or when x is equal to 0.

In this case, we have two functions:

y = 5x^2 - 4, in which -4 is the constant that will determine where the function intercepts the y-axis. So if we say that we have x=0, then y=-4

In the second function we have:

y= 5x^2, this function is very similar but we don´t have another number after 5x^2, so we will have a similar graph but when x = 0 then y = 0.

So the first graph is shifted 4 units down. We can see this in the attachment.