Math  /  Geometry

QuestionSolve tt nis pair of simultancous equation graphically, y=x2+4x5y=x^{2}+4 x-5 and y=2x2y=2 x-2. And also shade the region defined simultaneously by the inequalities yx2+4x5y \geq x^{2}+4 x-5 and y2x2y \leq 2 x-2 on the same graph.
Unit 11.2 Graphs \& Functions ... Topici: Quadratic Equations \& Quadratic Gri

Studdy Solution
Shade the region defined by the inequalities yx2+4x5y \geq x^2 + 4x - 5 and y2x2y \leq 2x - 2. This is the region above the parabola and below the line.
First, identify the region above the parabola y=x2+4x5y = x^2 + 4x - 5. This is the area where yy values are greater than or equal to those on the parabola.
Next, identify the region below the line y=2x2y = 2x - 2. This is the area where yy values are less than or equal to those on the line.
The shaded region is where these two areas overlap.
Solution: The solutions to the simultaneous equations are the points of intersection: (3,8)(-3, -8) and (1,0)(1, 0).
The shaded region on the graph represents the area above the parabola y=x2+4x5y = x^2 + 4x - 5 and below the line y=2x2y = 2x - 2.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord