Need help with parabolas (1 Viewer)

[iamastar]

Determine the equation of the quadratic expression for each table of values. How do you find this out? Is there a formula?

Help is appreciated, I'm in Year 10.

 

[InteGrand]

Determine the equation of the quadratic expression for each table of values. How do you solve this? Is there a formula?

Help is appreciated

 

[InteGrand]

 

[iamastar]

Hey, how do you know, or deduce - from the table of values - what the axis of symmetry is?

 

[InteGrand]

Hey, how do you know, or deduce - from the table of values - what the axis of symmetry is?

It's the place where on either side when you increment x by some amount, the y-values are the same.

For example for the first one the y-values are seen to be symmetrical about the x = 0 column, which implies the axis of symmetry is x = 0.

(In fact, just having one pair of symmetric values at equally spaced distances from a certain x-value is enough to imply that this x-value is the axis of symmetry.)

 

[davidgoes4wce]

Part (a)

 

[davidgoes4wce]

Part (b)

 

[davidgoes4wce]

Part (c)

 

[davidgoes4wce]

Part (d)