Question

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: y = x squared minus 6 x Table A a b c up or down y-intercept 1 -6 0 up (0,0) Table B a b c up or down y-intercept 1 0 0 up (0,-6) Table C a b c up or down y-intercept 1 6 0 up (0,0) Table D a b c up or down y-intercept 1 -6 0 down (0,0) a. Table A c. Table C b. Table B d. Table D Please select the best answer from the choices provided

Answer 1

Table A.)

Explanation:

a 1, b -6, c 0, up, (0, 0), Table A.

Answer 2

The table that illustrates this equation is table A:

1 -6 0 up (0,0)

Explanation:

The values of the parameters a, b, and c have to agree with the values for the general quadratic equation in standard form:

`y = a\,x^2+b\,x+c`

compared to:

`y=x^2-6\,x`

So the coefficient "a" of the quadratic term in our case is: "1"

the coefficient "b" of the linear term is : "-6"

the coefficient "c" for the constant term s : "0" (zero)

since the coefficient "a" is a positive number, we know that the parabola's branches must be opening "UP".

The y intercept can be found by evaluating the expression for x = 0:

`y=x^2-6x\\y=(0)^2-6\,(0)\\y=0`

Therefore the y-intercept is at (0, 0)

These results agree with those of Table "A"