Math  /  Geometry

QuestionSketch the graph of the quadratic function f(x)=(x+1)29f(x)=(x+1)^{2}-9. Find the axis of symmetry, domain, and range.

Studdy Solution
The range of a quadratic function in vertex form is yky\geq k if the parabola opens upwards (a>), and yky\leq k if the parabola opens downwards (a<). Since the coefficient of the square term in the given function is positive, the parabola opens upwards. Therefore, the range of the function is [9,)[-9, \infty).
Now, we can sketch the graph of the function using the vertex, intercepts, and axis of symmetry. The vertex is at (,9)(-,-9), the x-intercepts are at x=4x=-4 and x=2x=2, and the axis of symmetry is the vertical line x=x=-.

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