Family of Parabolas y=x²+c: Vertical Shift

🏆Practice parabola of the form y=x²+c

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

The basic quadratic function y=x2y=x^2 with the addition of CC yields the function y=x2+cy=x^2+c
The meaning of CC is the vertical shift of the function upwards or downwards.
If CC is positive: the function will rise by the number of steps shown in CC.
If CC is negative: the function will descend by the number of steps shown in CC

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

einstein

One function

\( y=-2x^2-3 \)

to the corresponding graph:

333333-3-3-3333-3-3-3-3-3-31234

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Let's look at an example

y=x2+3y=x^2+3
The function will rise three steps.

1 - Vertical shift

Additionally, we can see thatCC marks the intersection point on the YY axis.


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

Exercise #1

One function

y=2x23 y=-2x^2-3

to the corresponding graph:

333333-3-3-3333-3-3-3-3-3-31234

Video Solution

Answer

4

Exercise #2

One function

y=6x2 y=-6x^2

to the corresponding graph:

1234

Video Solution

Answer

4

Exercise #3

Which chart represents the function y=x29 y=x^2-9 ?

222333999-9-9-9-1-1-1444-101234

Video Solution

Answer

4

Exercise #4

One function

y=6x2 y=6x^2

to the corresponding graph:

1234

Video Solution

Answer

2

Exercise #5

Find the ascending area of the function

f(x)=2x2 f(x)=2x^2

Video Solution

Answer

0 < x

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