Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function (a) f(x)=x^2-6x (b) f(x)=-x^2+4x+1 (c) f(x)=3x^2-10x+2
Write the quadratic function in the form f (x)= a (x- h)ʻ+k. Then, give the vertex of its graph. f(x)=-3x² +18x-31 Writing in the form specified: f(x) = I Vertex:
also, identify the vertex. no need to sketch. Write the quadratic function in a(x-h)^2+k form (Hint: Find the vertex first to determine h and k). f(x) = x2 - 4x + 7 f(x) = Sketch its graph. 20 Graph Layers 18 16 14 After you add a can use Graph properties 12 -10 Fill 8 8 2 2013-10-14 12 10 8 -8 42 2 4 8 8 10 12 14 18 19 20 -2 2 No Solution -B -B -10...
5. For the quadratic function f(x) = x2 – - ***2 – 4x + 1: a) write it in the form f(x) = a(x – h)2 + k b) identify the coordinates of the vertex c) state whether there is a maximum or minimum and identify where it occurs
6. Write the quadratic function f(x-ar' + br + c , a * 0 İn vertex form f(x) = a(x-h)' + k using e fo rmulas for h and k in terms of the procedure of completing the perfect square and provid parameters a, b, and c. Solve the equ formula. Factor the quadratic expression ax+br+c in terms of the solutions x, and x, of the quadratic equation. Write equations expressing the relationships between parameter a, b and c and...
13. The following quadratic function is written in general form: f(x)=x2-6x-7 a) Write the factored form b) Write the vertex form (also known as standard form). c) Find the y-intercept. Which of the three forms listed above is the most useful in identifying the y-intercept and why? d) Find the x-intercepts. Which of the three forms listed above is the most useful in identifying the x-intercepts and why? e) Find the vertex. Which of the three forms listed above is...
Write the quadratic function in the form(x)-a(-h)*+k Then, give the yertex of its graph Finaly, graph the function by plotting the vertex and four aditional points, two on each side of the vertex. Then dlick on the graph icon. fx)x2+16x + 25
Use the vertex (h, k) and a point on the graph (x,y) to find the general form of the equation of the quadratic function. (h, k) - (-3, -1), (X,Y) - (-5,3)
Sketch the graph of the quadratic function. Identify the vertex and axis of symmetry. 12) f(x) = (x - 3)2 + 6 03 Determine the coordinate of the vertex of the following quadratic function and indicate whether opens UP or DOWN. 13) f(x) = -x2 + 4x - 9
Given the quadratic function: y = f (x) = x2 + 6x + 7 Write the given function in standard form, f (x) = a(x – h )2 + k , by completing the square. (You must show your work to receive credit.)
graph the quadratic function. Find the x- and y-intercepts of each graph, if any exist. If it is given in general form, convert it into standard form; if it is given in standard form, convert it into general form. Find the domain and range of the function and list the intervals on which the function is increasing or decreasing. Identify the vertex and the axis of symmetry and determine whether the vertex yields a relative and absolute maximum or minimum....