Which graph shows y=−x+3+2,y equals negative , square root of x plus 3 end root , plus 2 . comma a transformation of the radical parent function y=y equals x?square root of x question mark
Which function would have a graph whose end behavior is up and up?
f(x)=x3+1f open x close equals , x cubed , plus 1
f(x)=−2x4f open x close equals negative , 2 x to the fourth
f(x)=5x2−7f open x close equals 5 , x squared , minus 7
f(x)=−3xf open x close equals negative , 3 to the x
GRIDDED RESPONSE
What is the solution of the equation log9x=log6x?log base 9 , x equals , log base 6 , x question mark
A savings account pays 4.62% annual interest, compounded continuously. After approximately how many years will a principal of $500 double?
The graph of a polynomial has x-intercepts at (−2,0),negative 2 comma 0 close comma (−2,0),negative 2 comma 0 close comma and (1, 0). What is the least possible degree of the polynomial?
Evaluate log48.log base 4 , 8 .
Solve 42x=32.4 super 2 x end super , equals 32 .
How many different real solutions are there for the equation 4x2=−4x−4?4 x squared , equals negative 4 x minus 4 question mark
Use the Fundamental Theorem of Algebra to determine the total number of complex zeros of f(x)=x2−3x5+4x−x7−44.f open x close equals , x squared , minus , 3 x to the fifth , plus 4 x minus , x to the seventh , minus 44 .
y varies directly with x and y=y equals 30 when x=4.x equals 4. What is y when x=7?x equals 7 question mark
What is the y-intercept of the line that passes through the point (−2,7)negative 2 comma 7 close and is parallel to y=3x+5?y equals 3 x plus 5 question mark
What is the solution of x+2=xsquare root of x plus 2 end root , equals x
Simplify 9529 super and 5 halves end super
What is the x-intercept of f(x)=x3−x2+1?f open x close equals , x cubed , minus , x squared , plus 1 question mark Round the answer to the nearest hundredth.
Short Response
What are the domain and range of the parabola?
To use an outdoor toddler swing, a child must weigh at least 15 pounds, and can weigh no more than 35 pounds. Draw a graph to model this situation.
Solve the equation 0=x2+3x−10 equals , x squared , plus 3 x minus 1 by completing the square.
Can a quadratic equation with real coefficients have exactly one imaginary root? Explain your answer.
Graph the function y=−3(2)x+1y equals . negative 3 open 2 close super x plus 1 end super as a translation of its parent function.
Extended Response
A transformation of the parent absolute value function is shown in the graph.
What is the transformation from the parent function y=|x|?y equals vertical line x vertical line question mark
Draw the graph of the transformed function after reflecting it across the y-axis and translating it 4 units down.