scramble test questions Flashcards
What are the three forms of a quadratic function? GIVE NAMES AND EXAMPLES
standard y=ax2+bx+c
vertex y=a(x-h)2+k
factored y=a(x-r)(x-r)
What are the three forms of a linear function? GIVE NAMES AND EXAMPLES
standard: Ax+By=C
point slope: y-y=m(x-x)
slope intercept: y=mx+b
what does y=-x look like
a diagonal going from upper right down to lower left, through origin
When you graph a line, what are you actually graphing?
THE SOLUTION! Those are all of the points that make the equation true. All of the points that “work”. If you put any other pionts, (x,y) into the equation, they wont work, You will get a false statement.
what is the slope of a line that goes straight up and down?
undefined
f(x) = ax2 + bx + c What is the quadratic term?
ax2
What is the gradient of a line?
the slope, the steepness
How do you show that a point lies on a line?
Show that, when you plug the point in, you get a true mathematical statement.
Explain what a parabola with two real roots (real zeros) looks like.
crosses x axis at those roots, at those x values
When is there just one solution to simultaneous equations?
when they cross (at one point)
f(x)= 3x - 9 What is a, b and c?
a = 0 , b = 3, c = 9..There is no quadratic term.. THIS IS LINEAR!!! IT’S A LINE!slope of
When is there and infinite number of solutions to simultaneous equations?
when they are the same line, then all points on the line satisfy both equations
How can you tell if the point (5, -3) is a solution to a linear equation?
If it “works.” Sub 5 in for the X and -3 in for the Y. Simplify. If the statement is true, then it is a solution. If it is a solution, then it is on the line.
what is the quadratic term’s exponent on the x ?
2
one out of twenty is ____ or _____%
0.05 or 5%
f(x)= 2(x+4)2-3 What is vertex and which way does it open?
at (-4, -3) and it opens upwards (has min)
What is the symbol that joins two sets together into one set?
A big U , stands for UNION
What are the x intercepts of a function? (other names?)
the roots, the zeros, the solutions
change the probability of 1/8 to a decimal and a percent
0.125 or 12.5%
Describe what an axis of symmetry is
it is where the parabola can fold onto itself. It is the equation of this vertical line, so you write “x = ___”(-b/2a)
What is the zero product property?
(this)(that)=0 is true when (this)=0 and when (that)=0. this is what we use when solving by factoring.
where is the vertex located?
on the axis of symmetry (highest or lowest point).
What are the zeros of y=5(x-3)(2x+1)
The zeros, or roots, or x intercepts are at(3, 0) and (-1/2, 0)
how would you solve (3x-2)(x-5)=0 (what are solutions?)
set factors = 0 and solve: 3x-2=0 and solve x-5=0 zero product property. The solutions are x = { 5, 2/3}
What is the eqution of a horizontal line that goes througyh the y axis at 8? How can you think about it to help you?
y = 8. Since y is the height, you can think of it as all of the points that have a height of 8. Also, you can think of it as all of the points that have a y value of 8, so you are a solution if your y value is 8.
