Quadratic Functions
What is the formula for axis of symmetry of a quadratic function in standard form.
-b / 2a
What is the y-intercept of this function:
5*(2^x)
5
What is the product of solutions formula for a quadratic function in standard form.
c/a
What is the y-intercept of this function:
(3^x)+2
3
What is the sum of solutions of this equation:
x(x+1)-56=4x(x-7)
29/3
Are the following expressions equivalent
(w-3)^5 - (w-3)^2
and
(w-3)^3
No
How many distinct real solutions does the following equation have?
(x-1)^2 = -4
0
If a quadratic function intersects the x-axis at exactly one point, what does that mean about its discriminant.
Discriminant = 0
The exponential function q(x) decreases by 45% for every time x increases by 1.
If the function q is in the form a * b^x, what must be the value of b?
0.55
What is the product of the y-values of the solutions to the following system of equations.
x^2 + y^2 = 9
x+y=3
0
-580
What is the minimum value of the function f(x) = (x-2)^2 - 4
What is the growth factor of an exponential function with points at (2,8) and (5, 500). Round to the nearest hundredth.
3.97
The graph of y = 3x^2 - 14x intersects the graph of y=x at points (0,0) and (a,a). What is the value of a?
5
One of the factors of 2x^3+42x^2+208x is x+b. What is the smallest possible value of b?
8
If f(x) = (2x-2) / (x^2+1)
and g(x) = x^2+1,
What is the value of f(1+g(1))?
2/5
For what value of x does the function f(x) = (x-10)(x+13) reach its minimum?
-3/2
The graph of y=g(x)+2 has a y-intercept of 1.
If g is an exponential function in the form a^x+b, what must be the value of b?
-2
The equation y=-x^2+9x-100 intersects the line y=c at exactly one point. What is the value of c?
-319/4
If (27^x)/(9^y) = 81, what is the value of 3x-2y?
4