`y=x^2-4x-32` (a) Determine whether the parabola opens up or down. (b) Identify the axis of symmetry. (c) Identify the minimum point. (d) Find the x-intercepts. determine whether the parabola opens up or down; explain your conclusion. identify the axis of symmetry and the vertex. identify the minimum. find the x-intercepts by factoring. show how the value of the discriminant supports your conclusions of the x-intercepts by factoring.
- print Print
- list Cite
Expert Answers
Lix Lemjay
| Certified Educator
calendarEducator since 2012
write1,284 answers
starTop subjects are Math and Science
`y=x^2-4x-32`
(a) The sign of a (coefficient of x^2) determines direction of the parabola. If a is positive. the parabola opens. And if negative, it opens down.
Since a=+1, hence the paranbola opens up.
(b) When the parabola is either upward or downward, its axis of symmetry is the x-coordinate of the vertex(h,k), where `h=-b/(2a)` . So,
`h=-b/(2a)= -(-4)/(2*1)=2`
Thus, the axis of symmetry is `x=2` .
(c) The minimum point of the parabola is the vertex (h,k). To solve for k, substitute...
(The entire section contains 252 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- The parabola has an equation: y=x^2-4x-32.Determine whether the parabola opens up or down;...
- 1 Educator Answer
- `x^2=12y` Graph the equation. Identify the focus, directrix, and axis of symmetry of the...
- 1 Educator Answer
- `x^2=20y` Graph the equation. Identify the focus, directrix, and axis of symmetry of the...
- 1 Educator Answer
- `x^2=-6y` Graph the equation. Identify the focus, directrix, and axis of symmetry of the...
- 1 Educator Answer
- `y^2=16x` Graph the equation. Identify the focus, directrix, and axis of symmetry of the...
- 1 Educator Answer