PLEASE HELP Convert the quadratic function from standard form to factored form. Y=x^2-2x-48.

y=(x-8)(x+6)

Step-by-step explanation:

8 is a factor of 2, 6 adds up to 48

(also, my calculator can factor :P)

Hope this helps!

y = (x - 8)(x + 6)

Step-by-step explanation:

In order to turn this into factored form, you need to find which two numbers add to -2 and multiply to -48. First, identify factors and see which ones have a difference of 2:

2 × 24

3 × 16

4 × 12

6 × 8

6 and 8 have a difference of 2 and multiply to 48. In order for them to add to -2 and multiply to -48 though, one must be negative. You can tell that 8 will be negative because -8 + 6 = -2 and -8 × 6 = -48.

At this point, you can write the factored form:

y = (x - 8)(x + 6)

(If you want to check your answer, you can just multiply the binomials using FOIL and see if they are the same as the given quadratic function)

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."