Peaks and Valleys
Key Features
Solutions
The Root Cause
Consider the Factors
Ms. Elaineyus
100
The parabola with equation y = x^2 has a vertex at this point on the graph.
What is(0,0) or the origin?
100
A quadratic function has a domain that includes every single one of these
What are real numbers?
100
The solutions to a quadratic equation can be referred to in these three ways
What are x-intercepts, zeroes and roots?
100
This is a method of solving quadratics that begins with isolating the expression that is squared.
What is solving by taking the square roots?
100
This is a method of solving quadratics that uses the zero product property
What is factoring?
100
The equation y = -16x2+12x+4 is an example of
Projectile Motion
200
This is where the vertex of parabola lies when there is one solution (or zero.)
What is the x-axis.
200
This is what the c value of the equation y = x2+bx +c represents
What is the y-intercept?
200
A parabola whose vertex is a maximum, and lies below the x axis, has this many solutions
What is zero?
200
The zeroes of the equation 0 = x2 - 16 are
What is 4 and -4?
200
This is the factored form of 7x2 - 21x
What is 7x(x-3)?
200
A projectile is fired into the air and follows this path. A reasonable domain for this situation would be
[0, 1] or 0 < x < 1
300
This is what the vertex of an upwards facing parabola is called.
What is the minimum?
300
A quadratic equation has 0, 1, or two of these
What are x-intercepts?
300
These are the three ways you have learned to solve quadratic equations so far.
What are Graphing, Factoring and Taking the Square Root of Both Sides?
300
The solutions to the equation 0 = 4x2 - 25 are
What is +/- (5/2) or +/- 2.5 ?
300
This is the factored form of a the quadratic expression x2-6x-16
What is (x -8)(x+2)?
300
What is the maximum height of the object in this situation?
What is 6.25 units?
400
A parabola with a negative a-value has a vertex that is...
What is a maximum?
400
This is the range of a parabola represented by the quadratic equation y = -x2-4x-2
What is (oo, 2) or y < 2?
400
This is the number of solutions a parabola has if its vertex is in the third quadrant and it is upwards facing.
What is two?
400
The expression x2 - 144 can be factored to
What is (x + 12)(x - 12)?
400
These are the solutions to the parabola with equation x^2 + 5x - 6.
What is x = -6, 1?
400
How high was the object when it was launched?
4 units
500
If the x intercepts of a parabola are -6 and -2, the x-value of the vertex would be...
What is -4?
500
The graph of a quadratic function changes from decreasing to increasing at this point
What is the vertex?
500
These are the solutions to this quadratic equation: 0 = x2 - 8x
What are 0 and 8?
500
This is the solution to the equation 0 = 6x2 + 18
What is no real solution?
500
This is the POSITIVE solution to the equation 0 = 3x2-11x-4
What is 4 ?
500
Who lives in a pineapple under the sea?
Spongebob Squarepants!