PLEASE HELP ME!!!!!! 30 POINTS AND BRAINLIEST ANSWERThe function h(x)=x^2+6x+7 represents a parabolaPart A: rewrite the function in vertex form by completing the square. Show your workPart B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know?part C: Determine the axis of symmetry for h(x) Please help me and if you could answer all the questions fully Thank you!!!!!!!!
Accepted Solution
A:
Hello!!
Part A. The given equation is: y = x^2 + 6x + 7 By completing the square: y = (x^2 + 6x + 9) + 7 β 9 y = (x + 3)^2 β 2 y + 2 = (x + 3)^2 Β Part B. The vertex form of a parabola is in the form: y β k = 4p (x β h)^2 Where (h, k) is the vertex (x, y) of the parabola. Therefore the vertex: (-3, -2) Since 4p = 1, a positive number, therefore the parabola opens up which makes the vertex (-3, -2) the minima of the graph. Β Part C. The Axis of Symmetry is the x - coordinate of the vertex which is x = - 3~Nayiah~ Hope this helps!!