Sketch the graph of the quadratic function fx x421

Question

1. Sketch the graph of the quadratic function.

f(x) = x² - 3x

2. Sketch the graph of the quadratic function f(x) = (x+4)²+1. Identify the vertex and axis of symmetry.

3. Sketch the graph of the quadratic function f(x) = x²+2x+1. Identify the axis of symmetry.

4. Find the standard form of the quadratic function shown below:

5. Determine the vertex of the graph of the quadratic function

f(x) = x² + x + 5/4

6. Determine the x-intercept(s) of the quadratic function

f(x) = x²+ 4x - 32

7. Write a polynomial that fits the description.

A fifth-degree polynomial with leading coefficient 4.

8. Multiply or find the special product.

(x+4)(x+9)

9. Perform the following operation.

Multiply (x² + 2x + 6) and (x² - 2x + 6) .

10.Perform the operation and write the result in standard form.

(-8x)(8x + 7)

11.Completely factor the expression.

x⁴ - 4x³

12.Completely factor the expression.

x² - 8x + 16

13.Completely factor the expression.

(t-1)² - 9

14.Solve the equation and check your solution.

5x/2-x/6 = 14

15.Determine whether the equation 3(x-2)=3x-6 is an identity or a conditional equation. If conditional, indicate the condition.

16.Solve the equation and check your solution.

67x- 24 = 3x+8(8x-3)

17.Solve the quadratic equation by factoring.

x² + 8x +16 = 0

18.Solve the quadratic equation by factoring.

64x² - 1 = 0

19.Solve the equation and check your solution. (If not possible, explain why.)

x/(x+9)+ 9/(x+9)+2 =0

20.Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Sketch the line.
(0,0), m = 3

21.Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slopem. Sketch the line.
(-6,6), m = -2

22.Which equation does not represent y as a function of x?

y = |-8+9x²|

x = -6y+5

y = 7x+9

x = -1

y = √(8+x)

23.Which of the following equations does not represents y as a function of x?

y = x²-2

y2 = 2-x

y = x²+2

y = x² +x -2

x2 + y = 2

24.Which equation does not represent y as a function of x?

-5y² + 7x = 3

2x = -9y

-9x + 7y = -9

-4y = -9

6x² + 7y = -2

25.Find the domain of the function.

h(t) = 3/t

26.Find the zeros of the function algebraically.

f(x) = √8x - 1

27.Evaluate the indicated function for f(x) = x²-7 and g(x) = (x+3)(f - g)(t + 2)

28. Find (f + g)(x)

f(x) = 2x - 4

f(x) = 6-x

29. Find (f/g)(x)

f(x) = x² +7x

g(x) = -2 - x

30. Find g.f

f(x) = x-3

g(x) = x²