Question

The graph of a parabola is represented by the equation y=ax^2 where a is a positive integer. If a is multiplied by 2, the new parabola would become?
1. Narrower and open downward
2. Narrower and open upward
3.wider and open downward
4. Open and open upward

Answer 1

2

Answer 2

How?

Answer 3

do a simply table of values

a =1 so its y = x^2

x: -2 : -1 : 0 : 1 : 2
----------------------
y: 4 : 1 : 0 : 1 : 4

now let a = 2, so its y = 2x^2

x: -2 : -1 : 0 : 1 : 2
----------------------
y: 8 : 2 : 0 : 2 : 8


plot the points and the 2nd parabola is drawn inside the 1st parabola... with a common vertex of (0,0)

the basic rule is for y = ax^2 a determines concavity in the parabola as well as the larger the value of a the steeper the graph of the parabola

so consider y = 1/2 x^2

x: -2 : -1 : 0 : 1 : 2
----------------------
y: 2 : 1/2 : 0 : 1/2 : 2

the is outside the 1 above.

Answer 4

"the" What exactly is classified as "the"? (located at the last line)

Answer 5

So the answer is basically choice #2?