Graph the equation y, equals, minus, x, squared, minus, 8, x, minus, 15y=−x 2 −8x−15 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Question
Graph the equation y, equals, minus, x, squared, minus, 8, x, minus, 15y=−x 2 −8x−15 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Solution
Sure, here are the steps to graph the equation y = -x^2 - 8x - 15:
-
First, we need to find the roots of the equation. The roots are the x-values where y = 0. We can find these by setting the equation equal to zero and solving for x:
-x^2 - 8x - 15 = 0
This is a quadratic equation, and we can solve it using the quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / (2a). In this case, a = -1, b = -8, and c = -15. Plugging these values into the formula gives us:
x = [8 ± sqrt((-8)^2 - 4*-1*-15)] / (2*-1) x = [8 ± sqrt(64 - 60)] / -2 x = [8 ± sqrt(4)] / -2
Similar Questions
Graph the equation y, equals, minus, x, squared, plus, 6, x, minus, 8y=−x 2 +6x−8 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Graph the equation y, equals, minus, x, squared, minus, 4, x, plus, 5y=−x 2 −4x+5 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Graph the equation y, equals, minus, x, squared, minus, 2, x, plus, 3y=−x 2 −2x+3 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Graph the equation y, equals, minus, x, squared, plus, 12, x, minus, 35y=−x 2 +12x−35 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Graph the equation y, equals, minus, x, squared, minus, 4, x, minus, 3y=−x 2 −4x−3 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.Click to plot points. Click points to delete them.-10-9-8-7-6-5-4-3-2-112345678910-10-9-8-7-6-5-4-3-2-112345678910xyAnswerAttempt 1 out of 2You must answer all questions above in order to submit.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.