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 = ax2, where a > 1?

100

Describe the graph of the parent log equation.

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

100

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

What is y = -2x + 4 + 5  with the base being a positive number?

100

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

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

100

The standard equation of the line that crosses the x axis at 8 and crosses the y axis at 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 units and up four units.

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

200

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

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

200

Describe the graph of an exponential parent function

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

200

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

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

200

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

What is 3x + 5y =14?

300

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

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 units and up seven units.

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 units and up five units.

What is y =a[x-3].5 + 5, where a > 1?

300

The equation of the line with undefined slope that passing thru the point (-8. 12).

What is x = -8?

400

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

What is y = a x2 - 7, where a > 1?

400

I am the graph of a function with an asymptote at y = 3.  

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

400

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

What is y = a2(x + 8) + 6, where -1 < a < 0?

400

The equation of a square root function that has a domain of x < -6 and range y < 3

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

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 units and up 9 units.

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 units.

What is y =  alog(-(x - 5)), or y = alog(5 - x) where a < -1?

500

I have an asymptote at y = 3 and I go through the points (-2, 4) and (-1, 6).  My base is 2.

What is the graph of y = 2(x + 2) + 3

500

The equation of the square root function that has been shifted to the right 2 units, down 4 units, 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?

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