Question

What is the difference between
h=-0.0625d(d-56) and h=-0.0625d(d-56)(d-56)

Answer 1

the first one will turn into a quadratic while the second one will turn into a cubic, so that's one difference

Answer 2

I mean in terms of graphing and x-intetrcepts

Answer 3

Do both of them only have one x-intercept (56,0)

Answer 4

oh, both will have the same x-intercepts, but the graphs will cross them in a different way

Answer 5

both have an x-intercept of x = 0 and both will have the graph cross through the x-axis at this point

the first will have an x-intercept of x = 56 and it will cross through

the second will have an x-intercept of x = 56, but it won't cross through: it will just touch the x-axis and not completely cross over

Answer 6

So the first equation will have the x-intercepts of (0,0) and (56,0) but then the second one will only have (56,0) as an x-intercept?

Answer 7

no the second also has an x-intercept of x = 0, sorry i should have said that too

Answer 8

Then how would one know if there is only one x-intercept in the parabola?

Answer 9

not sure what you mean

Answer 10

By setting it equal to zero:

\[\large 0=-0.0625d(d-56)(d-56)\]

Use the zero product property, if \[\large (a) (b) (c) = 0\] then either a=0, b=0 or c=0.

Answer 11

Say the equation only had one x-intercept how would you show it?

Answer 12

and \[\large 0 =-0.0625d(d-56) \]

Answer 13

You'd show it by finding them from what i just showed.

Answer 14

I still don't understand how we can can show that the equation only has one x-intercept>

Answer 15

From my above post,

0=−0.0625d(d−56)(d−56)


Use the zero product property, if
(a)(b)(c)=0
then either a=0, b=0 or c=0.

This is how you show it.

Answer 16

0=(−0.0625d)(d−56)(d−56)

maybe that will help.

Answer 17

So that has only 1 x-intercept right

but then this

h=-0.0625d(d-56


Has 2? right...?

Answer 18

Has 2 x-intercepts ...

Answer 19

No, it does not have only one intercept.

0=(−0.0625d)(d−56)(d−56)

Use the zero product property, if
(a)(b)(c)=0
then either a=0, b=0 or c=0.

Answer 20

Set them all equal to zero, and find x.

Answer 21

but the equation is

u=a(x-s)(x-r)

there is no A B or C. Im sorrry but I have not learned the zero product property

Answer 22

y=a(x-s)(x-r)

Answer 23

or no B and C?

Answer 24

if 0=a(x-s)(x-r)

then either a=0, x-s=0 or x-r=0

Answer 25

Yes I get that, say there was a parabola that faced down and had a step pattern of 1,3,5 and the vertex was at (5,0) how would I make this into an equation in the factored form

Answer 26

anyone?

Answer 27

@agent0smith

Answer 28

What's a step pattern?

http://www.mesacc.edu/~scotz47781/mat120/notes/graph_quads/vertex_form/graph_quads_vertex_form.html

^ vertex form