a) Graph the following: f(x) = 2(x + 2)² 10 -9 -8 -7 -6 -5 -4 Clear All Draw: b) Use the graph to identify the vertex vertex is c) Use the graph to identify the axis of symmetry Axis of symmetry. x = -3 10+ 9 8 7 6 5 -2 -1 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 + 1 2 3 4 5 6 7 8 9 10
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- Find the vertex, Focus and divectrix parabala given to the x2+6X+ +25-0For the polynomial (x - 3)²(2x + 5), find the following: Write intercepts as ordered pairs. If there is more than one, separate each answer with a comma. If there is not an x-intercept with the given behavior, state "DNE" in the box next to the behavior. a) the end behavior of the graph using the leading coefficient test. Falls to the left and rises to the right ✓ or b) all x-intercepts. Separate each intercept with a comma. (3.0). ( ⇒,0) 2 c) the behavior of the graph at all x-intercepts: x-intercepts where the graph crosses the x-axis DNE I x-intercepts where the graph touches the x-axis and turns DNE d) the y-intercept. (0,45) X X ✓For the polynomial y = (x + 8)(8x + 1)(2x – 5)°, find the following: a) The end behavior of the graph. O Rises left and falls right O Falls left and right Rises left and right Falls left and rises right When listing x-intercepts, give x-values only separated by commas. If no x-intercepts satisfy the criterion, enter DNE. b) List all x-intercepts. c) List the x-intercepts where the graph crosses the x-axis. d) List the x-intercepts where the graph touches the x-axis and turns. e) The y-intercept. (y-value only.)
- y = 2x – 12x+10 1.) For (c) domain; (d) range. (a) rewrite in vertex form; (b) state the vertex;graph and find the vertex of the following 8vx+(y-2)^2=0 and 4v(y-2)+x^2. (Please Step by Step for the purpose of study and considering please show how to get the vertexSketch a graph of x = -1 4+ 3- 2. -5-4 -2 -1 -2 -3 -5 Clear All Draw:
- Which of the following was done to the graph of -x³+4x² - 4x + 7 to obtain the graph of x² - 4x² + 4x - 7? Shifted the graph upwards by 7 then shifted the graph to the left by 4; Horizontal reflection with respect to the y-axis; Shifted the graph downwards by 7 then shifted the graph to the right by 4; Vertical reflection with respect to the x-axis;Let P(x) = x4 - 5x3 - 5x2 + 23x + 10. (a) Find the zeros of P. (b) Sketch a graph of P.Identify the graph of 3x2 - 2√3xy + y2 + 2x + 2√3y = 0.