Quadratic Parent Function
Log Parent Function
Exponential Parent Function
Square Root Function
SPECIAL CASE EQUATIONS
100

The equation of a parabola whose vertex is a minimum and which is thinner than the parent function.

What is y = ax^2, where a > 1.

100

The defining features of a log equation.

What is a graph with a vertical asymptote that passes through the point (1,0).  Inverse of Exponential Function.

100

The equation for the exponential function that has been reflected across the x-axis and shifted to the left four and up five.

What is y = -2x + 4 + 5  The base can be any positive number, except 1.

100

The equation of the square root function that has been reflected across the x-axis and shifted to the left four and up 6.

What is y=-(x+4)^.5 +6

100

The equation of the line with x-intercept 8 and y-intercept 12.

What is 3x + 2y =24

200

The equation of a parabola whose vertex is a maximum and which has been shifted to the right six and up four.

What is y = -(x - 6)^2 + 4

200

The equation for the log function that has been shifted to the right 9, and up six

What is y = log(x - 9) +6

200

The defining features of an exponential parent function

What is a graph with a horizontal asymptote and passes through the point (0, 1)?

200

The equation of the square root function that has been reflected across the y-axis and shifted down 6.

What is y =(-x).5 - 6

200

The equation of the line containing the following points: (-12, 10) and (8, -2).

What is 3x + 5y =14.

300

The equation for the parabola that is wider than the parent function and whose vertex has been shifted to the left 5 and down 4.

What is y = a(x + 5)2 - 4, where 

0 < a < 1.

300

The equation for the log function that has been reflected across the x-axis, shifted to the left two and up seven.

What is y = - log(x + 2) + 7

300

The equation of the exponential function that has been vertically stretched, reflected across the y-axis and shifted right two and down six.

What is y = a*2^[-(x - 2)] - 6, or y = a*2^(2-x) - 6, where a > 1

300

The equation of the square root function that has been vertically stretched and shifted to the right three and up five.

What is y =a[x-3]^.5+5, where a > 1

300

The equation of the line with slope = o and passing thru the point (-8. 12).

What is y = 12?

400

The equation for the parabola that is thinner than the parent, and that has been shifted down 7.

What is y = a x^2 - 7, where a>1.

400

The equation for the log function that has been reflected across the y-axis, shifted to the right 12, down four and vertically compressed.

What is y = a* log(-(x - 12)) - 4, where 0 < a < 1 or   y = a*log(12 - x) - 4

400

The equation for the exponential function that has been reflected across the x-axis, shifted to the left 8, up six, and vertically compressed.

What is y = -a*2^(x + 8) + 6, where 0 < a < 1.

400

The equation of the square root function that has been reflected across the x and the y-axis and has been shifted to the left six and up three.

What is y = -[-(x+6)]^.5 + 3 or y = - (-6 - x)^.5

400

The standard equation of the line perpendicular to 8x + 5y =15 with the same y-intercept as 3x - 6y = 24.

What is 5x - 8y = 32

500

The equation for the parabola that has been vertically compressed shifted to the right 6 and up 9.

What is y = a(x - 6)^2 + 9, where 0 < a <1

500

The equation for the log function that has been reflected across both axes, vertically stretched, and shifted to the right five.

What is y = - a* log(-(x - 5)), or y = -a*log(5 - x) where a > 1.

500

The equation for the exponential function that has been reflected across both axes, vertically stretched, and shifted to the right 2 and up 4.

What is y = -a * 2^[-(x - 2)] + 4, or y = -a**2^(2 - x) + 4 where a > 1

500

The equation of the square root function that has been shifted to the right 2, down 4, reflected across the y-axis and vertically compressed.

What is y = a[-(x - 2)]^.5 - 4, where 0 < a < 1.

500

The eguation of the line with the same slope as 

9x - 5y =15 and the same y-intercept as 

y - 4 = 5/4(x -6) .

What is 9x - 5y = 17.5?