1. Convert y=5(x-6) - 20 to standard form AND intercept form. Show all process work a....

      

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1. Convert y=5(x-6) - 20 to standard form AND intercept form. Show all process work a. Standard form: b. Intercept form: 2. Write the equation of the new parabola in vertex form y = a(xh) + k. If there is no value for a, hor k do not write the letter. For example, y = 3x + 1 does not have a value for h, but is still written in vertex form. a. The parabola y = x is transformed vertically by a factor of 3 and opens down. b. The parabola y = x is translated 6 units left and 11 units up. 3. Find the initial value of the relation y = 3(x+3)+7 4. State the coordinates of the zeros of the quadratic relation y = 5x25x - 30 5. State the equation of a relation whose graph would be narrower than the graph of y = x 6. State the equation of a relation whose vertex would be lower than the origin and to the left of the y-axis. . Graph this relation by plotting the vertex, then use the step pattern to plot at least 2 additional points to sketch the graph of y = 0.5(x-2) - 1. 10 8 00 -10-8-6-4-2 LO 6 4 2 2 246 8 10 The manager of a local restaurant is trying to decide how much money to spend on advertising. She knows that an increase in advertising spending will increase her profit, up to a point. The situation is modelled by the relation R = -0.0005 (A-5000) + 12 500, where R is the extra revenue and A is the amount spent on advertising, both in dollars. a. State the coordinates of the vertex of this parabola. b. What do the coordinates of the vertex represent in this situation? c. According to this relation, if $0 is spent on advertising, what will the revenue be? d. According to this relation, if $200 is spent on advertising, what will the revenue be? 1. Convert y=5(x-6) - 20 to standard form AND intercept form. Show all process work a. Standard form: b. Intercept form: 2. Write the equation of the new parabola in vertex form y = a(xh) + k. If there is no value for a, hor k do not write the letter. For example, y = 3x + 1 does not have a value for h, but is still written in vertex form. a. The parabola y = x is transformed vertically by a factor of 3 and opens down. b. The parabola y = x is translated 6 units left and 11 units up. 3. Find the initial value of the relation y = 3(x+3)+7 4. State the coordinates of the zeros of the quadratic relation y = 5x25x - 30 5. State the equation of a relation whose graph would be narrower than the graph of y = x 6. State the equation of a relation whose vertex would be lower than the origin and to the left of the y-axis. . Graph this relation by plotting the vertex, then use the step pattern to plot at least 2 additional points to sketch the graph of y = 0.5(x-2) - 1. 10 8 00 -10-8-6-4-2 LO 6 4 2 2 246 8 10 The manager of a local restaurant is trying to decide how much money to spend on advertising. She knows that an increase in advertising spending will increase her profit, up to a point. The situation is modelled by the relation R = -0.0005 (A-5000) + 12 500, where R is the extra revenue and A is the amount spent on advertising, both in dollars. a. State the coordinates of the vertex of this parabola. b. What do the coordinates of the vertex represent in this situation? c. According to this relation, if $0 is spent on advertising, what will the revenue be? d. According to this relation, if $200 is spent on advertising, what will the revenue be?