College Algebra
Improve your experience by picking them
For the following function, sketch its graph. f(x) = 7|x|
For the following function, sketch its graph. f(x) = (1/7)|x|
For the following function, sketch its graph. h(x) = (1/5)x 2
For the following function, sketch its graph. h(x) = (- 1/5)x2
What is the equation of the line of symmetry for the graph of g(x) = |2x - 6|?
For the following function, sketch its graph. f(x) = - 7|x|
For the following function, sketch its graph. f(x) = |(- 1/5)x|
For the following function, sketch its graph. g(x) = √(25x)
For the following function, sketch its graph. g(x) = - √(- 25x)
In one cartesian plane, show where the point P (7, - 13) lies and also show the other points that are symmetric to it with respect to the (a) x-axis, (b) y-axis, (c) origin.
In one cartesian plane, show where the point P (- 6, - 1) lies and also show the other points that are symmetric to it with respect to the (a) x-axis, (b) y-axis, (c) origin.
Suppose the graph of g(x) = cx + d is obtained by translating the graph of f(x) = 4x + 7 up 4 units and to the left 5 units. Determine the function g(x).
Suppose f(x) = 5x - 9. If the graph of f(x) is reflected about the x-axis, then write the equation of the resulting graph.
Suppose f(x) = 5x - 9. If the graph of f(x) is reflected about the y-axis, then write the equation of the resulting graph.
Write the transformation required to draw the graph of the following function using the graph of ƒ(x) = |x|.
g(x) = -|x|
Describe the symmetry of the given equation without graphing.
y = x2 +8
x2 + y2 = 12
Draw the graph of the following function using the various graphing techniques.
ƒ(x) = x2 + 4
f(x) = (x + 4)2
f(x) = -(x + 3)3
ƒ(x) = -4(x - 5)2 + 6
ƒ(x) = 3√x + 4
ƒ(x) = 5√x - 1
Write the connection between the graphs of the given functions.
ƒ(x) = |x| and g(x) = |-x|
Write the different transformations used to draw given graph using the graph of f(x) = |x|. Also, write the equation for the graph.
Write the different transformations used to draw given graph using the graph of f(x) = √x. Also, write the equation for the graph.
Draw the graph of the following function using the graph of f(x) given below.
y = ƒ(x) + 5
y = f(x - 4)
y = f(x + 1) - 1
y = |f(x)|
Describe the transformation required to draw the graph of y = |x - 3| from the graph of y = |x|.
Describe the transformation required to draw the graph of y = x2 - 6 from the graph of y = x2.
Graph the function g by using the graph of y=f(x): g(x) = f(x-2) - 1
Graph the function g by using the graph of y=f(x): g(x) = f(-x)
Graph the function g by using the graph of y=f(x): g(x) = -f(x) + 4
Graph the function g by using the graph of y=f(x): g(x) = f(-x) + 1
Graph the function g by using the graph of y=f(x): g(x) = (1/2)f(x)
Graph the function g by using the graph of y=f(x): g(x) = 3f(x)
Graph the function g by using the graph of y=f(x): g(x) = f(x/3)
Graph the function g by using the graph of y=f(x): g(x) = -f(x/3) + 4
Graph the function g by using the graph of y=f(x): g(x) = -f(3x) - 2
Graph function h using the graph of y = f(x).
h(x) = f(x) + 5
h(x) = f(x + 4)
h(x) = f(x + 5) - 5
Use the graph of the function, f(x) = 2x2 -x +1 for applying transformation of graphs to graph the function according to the given condition. g(x) = 2x2 -x +5
Use the graph of the function, f(x) = x2 -x for applying transformation of graphs to graph the function according to the given condition. g(x) = (x+1)2 -(x+1)
Use the graph of the function, f(x) = 5x2 for applying transformation of graphs to graph the function according to the given condition. g(x) =-5(x+2)2
Use the graph of the function, f(x) = x2 for applying transformation of graphs to graph the function according to the given condition. g(x) = (1/3)(x-4)2
Use the graph of the function, f(x) = x3 for applying transformation of graphs to graph the function according to the given condition. g(x) = (1/3)(x-2)3 +2
Use the graph of the function, f(x) = x3 for applying transformation of graphs to graph the function according to the given condition. g(x) = -5(x-1)3 -2
Graph h(x) = √(x + 6) - 6 as a transformation of the square root function f(x) = √x.
Graph h(x) = 3√(x + 9) - 9 as a transformation of the square root function f(x) = √x.
Graph the absolute value function g(x) = - |5x + 5| + 3/2 as a transformation of f(x) = |5x|.
Graph the absolute value function g(x) = 3|2x + 9| as a transformation of f(x) = |2x|.
Use the graph of the function, f(x) = x3 +1 for applying transformation of graphs to graph the function according to the given function. g(x) = x3 -2
Use the graph of the function, f(x) = x3 for applying transformation of graphs to graph the function according to the given function.
g(x) = (x +2)3
Use the graph of the function, f(x) = x3 for applying transformation of graphs to graph the function according to the given function. g(x) = -2x3
Use the graph of the function, f(x) = x3-1 for applying transformation of graphs to graph the function according to the given condition. g(x) = 1/3(x3-1)
Use the graph of the function, f(x) = x3 -7 for applying transformation of graphs to graph the function according to the given function. g(x) = (x +1)3 -5
Use the graph of the function, f(x) = -x3 for applying transformation of graphs to graph the function according to the given condition. g(x) = (1/3)(x+2)3 +5
Graph the function g by using the graph of y = f(x): g(x) = f(x) + 2
Graph the function g by using the graph of y = f(x): g(x) = f(x+2)
Graph function of g(x) using graph of y = f(x)
g(x) = f(x/2) + 1
Use standard graph of function f(x) = √x to transform it into the following function g(x) =√x + 6
Graph h(x) = √(3x) + 8 as a transformation of the square root function f(x) = √(3x).
Graph h(x) = √(2x - 6) as a transformation of the square root function f(x) = √(2x).
Graph h(x) = - √(x - 5) as a transformation of the square root function f(x) = √x.
Graph the absolute value function g(x) = |4x| + 4 as a transformation of f(x) = |4x|.
Graph the absolute value function g(x) = |4x - 8| as a transformation of f(x) = |4x|.
Graph the absolute value function g(x) = |2x - 6| + 3 as a transformation of f(x) = |2x|.
Graph the cube root function h(x) = ∛8x + 4 as a transformation of f(x) = ∛8x.
Graph the cube root function h(x) = ∛(8x + 64) as a transformation of f(x) = ∛8x.
Graph the cube root function h(x) = (1/3)∛(27x - 27) as a transformation of f(x) = ∛27x.
Graph the cube root function h(x) = (1/2)∛(4x - 64) - 1 as a transformation of f(x) = (1/2)∛4x.
Graph the following function by transformation of the cube root function, f(x)=∛x:
g(x) = ∛(-x - 4)