Homework #5 #1 Class Name : College Algebra Student Name: Instructor note: Must show work to get full credit Question 1

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Homework #5 #1 Class Name : College Algebra Student Name: Instructor note: Must show work to get full credit Question 1 of 15 Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? upward downward (b) Find the coordinates of the vertex, vertex: OD (c) Find the equation of the axis of symmetry. equation of axis of symmetry: (d) Find the Intercept(s) I-intercept(s): 1 pulntercept(s): 0 Question 2 of 15

Graph the parabola. y=3(x-2)²+1 10 Question 3 of 15 Answer the questions below about the quadratic function. 56)=-222-82-7 Does the function have a minimum or maximum value? Where does the minimum or maximum value occur? What is the function's minimum or maximum value? Question 4 of 15 HY OH WALES

The graph of a quadratic function with vertex (2, 3) is shown in the figure below. Find the domain and the range V Write the domain and range using interval notation (a)domain- (b)range- Questions of 15 Write a quadratic function whose zeros are 7 and -2. Question 6 of 15 Divide. (32? +223 +20)+(x+6) Your answer should give the quotient and the remainder Quotient Remainder Question 7 of 15

Use synthetic division to find the quotient and remainder when 3x - 9x2 + 8 is divided by X-2 by completing the parts below (a) Complete this synthetic division table. 2) 3-9 0 8 Remainder (6) Write your answer in the following form: Quotient+ X-2 3 2 3x - 9x + 8 + X-2 x-2 Question 8 of 15 Use the remainder theorem to find P (2) for P(x)=x* – 3x+x=9, Specifically, give the quotient and the remainder for the associated division and the value of P (2). Quotient Remainder = P(2) Question 9 of 15 Use the Factor Theorem to determine whether x+2 is a factor of P(x) = x++4x²-x-8. Specifically, evaluate Pat the proper value, and then determine whether x+2 is a factor. PC)- *+2 is a factor of P(x) x+2 is not a factor of PG) Question 10 of 15 HE Cart

Graph the solution to the following inequality on the number line. (x+5)(x-4)=0 + -11-109876543210 1 2 3 4 5 6 7 8 9 10 11 Question 11 of 15 Graph the solution to the following Inequality on the number line. *+2x58 Question 12 of 15 Solve the following inequality. (x–5)(-2)(x+7)>0 Write your answer as an interval or union of intervals. Question 13 of 15 Solve the following inequality. (x-2)*&+9)>0 Write your answer as an interval or union of intervals. Question 14 of 15 Solve the following inequality, (+9) (1 - x)(x+1)<0 Write your answer as an interval or union of intervals. Question 15 of 15