Maths-
SAT
Easy
Question
In the xy-plane, which of the following changes to the graph of the equation y = x2 + 3 will result in the graph of the equation y = ( x2 + 3 ) - 6 ?
- A shift 6 units to the left
- A shift 6 units to the right
- A shift 6 units upward
- A shift 6 units downward
The correct answer is: A shift 6 units downward
The addition or subtraction of constant to the output of the function, shifts the function to left or right.
Since, 6 is subtracted, it shifts 6 units to the left.
Related Questions to study
maths-
The graph above shows the temperature in a room during a day when the thermostat malfunctioned. For which of the following two-hour periods was difference between the maximum and minimum temperatures greatest?
The graph above shows the temperature in a room during a day when the thermostat malfunctioned. For which of the following two-hour periods was difference between the maximum and minimum temperatures greatest?
maths-sat
maths-
Which of the following expressions is equivalent to 2a2(a+3)?
Which of the following expressions is equivalent to 2a2(a+3)?
maths-sat
maths-
In the table above, the ratio of y to x for each ordered pair is constant pair is constant. What is the value of k?
In the table above, the ratio of y to x for each ordered pair is constant pair is constant. What is the value of k?
maths-sat
maths-
The scatterplot above represents the head lengths, in centimeters (cm), and body lengths, in cm, of 14 adult crocodiles. The line of best fit for the data is also shown. The box plot above summarizes the body lengths of the 14 crocodiles.
Based on the box plot, of the following, which is the best estimate of the median body length, in cm, of the 14 adult crocodiles?
The scatterplot above represents the head lengths, in centimeters (cm), and body lengths, in cm, of 14 adult crocodiles. The line of best fit for the data is also shown. The box plot above summarizes the body lengths of the 14 crocodiles.
Based on the box plot, of the following, which is the best estimate of the median body length, in cm, of the 14 adult crocodiles?
maths-sat
maths-
The scatterplot above represents the head lengths, in centimeters (cm), and body lengths, in cm, of 14 adult crocodiles. The line of best fit for the data is also shown. The box plot above summarizes the body lengths of the 14 crocodiles.
Based on the line of best fit, of the following, which is the best estimate of the increase in predicted body length, in cm, for every 10 cm increase in head length?
The scatterplot above represents the head lengths, in centimeters (cm), and body lengths, in cm, of 14 adult crocodiles. The line of best fit for the data is also shown. The box plot above summarizes the body lengths of the 14 crocodiles.
Based on the line of best fit, of the following, which is the best estimate of the increase in predicted body length, in cm, for every 10 cm increase in head length?
maths-sat
maths-
The scatterplot above represents the head lengths, in centimeters (cm), and body lengths, in cm, of 14 adult crocodiles. The line of best fit for the data is also shown. The box plot above summarizes the body lengths of the 14 crocodiles.
For an adult crocodile with a head length of 30 cm, which of the following is closest to the body length, in cm, predicted by the line of best fit?
The scatterplot above represents the head lengths, in centimeters (cm), and body lengths, in cm, of 14 adult crocodiles. The line of best fit for the data is also shown. The box plot above summarizes the body lengths of the 14 crocodiles.
For an adult crocodile with a head length of 30 cm, which of the following is closest to the body length, in cm, predicted by the line of best fit?
maths-sat
maths-
If y = x2 + ax + a, where a is a constant , and y = 11 when x = 1, what is the value of a?
If y = x2 + ax + a, where a is a constant , and y = 11 when x = 1, what is the value of a?
maths-sat
maths-
A care-sharing service charges $6 per hour to rent a car plus a $10 fee for insurance. Which of the following gives the total cost c, in dollars, of a rental that lasts t hours?
A care-sharing service charges $6 per hour to rent a car plus a $10 fee for insurance. Which of the following gives the total cost c, in dollars, of a rental that lasts t hours?
maths-sat
maths-
If 
for all positive values of x, what is the value of 
?
If for all positive values of x, what is the value of ?
maths-sat
maths-
The points plotted in the coordinate plane above represent the possible numbers of wallflowers and cornflowers that someone can buy at the Garden the store in order to spend exactly $24.00 total on the two types of flowers. The price of each wallflower is the same and the price of each cornflower is the same. What is the price, in dollars, of 1 cornflower? (Disregard the $ sign when gridding your answer. For example, if your answer is $9.87, grid 9.87)
The points plotted in the coordinate plane above represent the possible numbers of wallflowers and cornflowers that someone can buy at the Garden the store in order to spend exactly $24.00 total on the two types of flowers. The price of each wallflower is the same and the price of each cornflower is the same. What is the price, in dollars, of 1 cornflower? (Disregard the $ sign when gridding your answer. For example, if your answer is $9.87, grid 9.87)
maths-sat
maths-
3x + y = 29
x = 2
If (x, y) is the solution to the given system of equations, what is the value of y?
3x + y = 29
x = 2
If (x, y) is the solution to the given system of equations, what is the value of y?
maths-sat
maths-
i2 + (-i)2
In the complex number system, what is the value of the given expression? (Note: i = 
)
i2 + (-i)2
In the complex number system, what is the value of the given expression? (Note: i = )
maths-sat
maths-
y = -x2 + 4x
Which of the following is the graph in the xy-plane of the given equation?
y = -x2 + 4x
Which of the following is the graph in the xy-plane of the given equation?
maths-sat
mathematics
g(x) = 2x - 2
The function g is defined by the equation above. Which of the following points in the xy-plane is an x-intercept of the graph of the equation y = g(x)?
g(x) = 2x - 2
The function g is defined by the equation above. Which of the following points in the xy-plane is an x-intercept of the graph of the equation y = g(x)?
mathematicsask-a-doubt
maths-
2x3 + 11x2 + 5x
Which of the following is NOT a factor of the polynomial above?
2x3 + 11x2 + 5x
Which of the following is NOT a factor of the polynomial above?
maths-sat
