# Family of Parabolas y=x²+c: Vertical Shift

🏆Practice parabola of the form y=x²+c

Family of Parabolas $y=x²+c$: Vertical Shift

The basic quadratic function $y=x^2$ with the addition of $C$ yields the function $y=x^2+c$
The meaning of $C$ is the vertical shift of the function upwards or downwards.
If $C$ is positive: the function will rise by the number of steps shown in $C$.
If $C$ is negative: the function will descend by the number of steps shown in $C$

## Test yourself on parabola of the form y=x²+c!

One function

$$y=-2x^2-3$$

to the corresponding graph:

## Let's look at an example

$y=x^2+3$
The function will rise three steps.

Additionally, we can see that$C$ marks the intersection point on the $Y$ axis.

## Examples and exercises with solutions from the family of parabolas y=x²+c

### Exercise #1

One function

$y=-2x^2-3$

to the corresponding graph:

4

### Exercise #2

One function

$y=-6x^2$

to the corresponding graph:

4

### Exercise #3

Which chart represents the function $y=x^2-9$?

4

### Exercise #4

One function

$y=6x^2$

to the corresponding graph:

2

### Exercise #5

Find the ascending area of the function

$f(x)=2x^2$