study set for quiz 2; graphing quadratic functions
select all of the following that are quadratic equations
3x^2+5x-7=0 5x^2+15x=0 x^2-4x=4x+7
give the values of a, b, and c needed to write the equation's general form (5+x)(5-x)=7
a = 1; b = 0; c = -18
vertex
the turning point of a parabola; the minimum or maximum point on the parabola
which of the following is a quadratic inequality?
y < x^2 - 5x
the graph of y = x^2 has been translated 7 units to the left. the equation of the resulting parabola is ______
y = (x + 7)^2
which of the following equations is of a parabola with a vertex at (3, 0)?
y = (x - 3)^2
what is the range of the function y = -x^2 + 1?
y ≤ 1
parabola
the u-shaped graph of a quadratic function
write the quadratic equation in general form (x-3)^2=0
x^2-6x+9=0
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what is the value of 'c' in the quadratic equation 3x^2+5x+7=0?
7
a parabola whose equation is y = (x - 5)^2 - 2 has a vertex at _____
(5, -2)
write the equation 0.3x^2+5x-7=0 in general form and then choose the value of 'b'
50
quadratic function
a function that can be written as y=ax^2+bx+c, where 'a' is not zero
translation
a shift or slide of a graph in the coordinate plane
2x^2-4x+6=0 is in general form
false
what is the line of symmetry for the parabola whose equation is y = x^2 + 10x + 25?
x = -5
the graph of y = ax^2 + bx + c is shown below. determine the solution set of 0 = ax^2 + bx + c
{-2}
standard form
the form y = (x - h)^2 + k of a quadratic equation with a =1
which of the following points is in the solution set of y < x^2 - 4x + 3?
(-3, 0)
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write the equation 2x^2-4x+6=1 in general form and then choose the value of 'c'
5
find the vertex of the parabola whose equation is y = x^2 + 6x + 2
(-3, -7)
what is the line of symmetry for the parabola whose equation is y = x^2 -12x +7?
x = 6
choose the equation that best represents the general form of the following expression x^2/2 = 7x
x^2 - 14x = 0
a parabola has a vertex at (-1, 0) and opens down. what is the equation of the parabola?
y = -(x + 1)^2
which of the following equations is of a parabola with a vertex at (0, 3)?
y = x^2 + 3
the dashed parabola is to the quadratic inequality as the ______ is to the number line graph
open circle
which of the following describes the transformation of the graph y = x^2 in graphing y = -x^2 -5?
reflect over the x-axis and shift down 5
what is the line of symmetry for the parabola whose equation is y = 3x^2 + 24x - 1?
x = -4
what is the line of symmetry for the parabola whose equation is y = -x^2 + x + 3?
x = 1/2
find the vertex of the parabola whose equation is y = -2x^2 + 8x - 5
(2, 3)
the line of symmetry for the quadratic equation y = ax^2 + 8x -3 is x = 4. what is the value of 'a'?
-1
find the vertex of the parabola whose equation is y = x^2 - 4x + 6
(2, 2)
give the values of a, b, and c needed to write the equation's general form 1/4 x2+5=0
a = 1; b = 0; c = 20
give the values of a, b, and c needed to write the equation's general form 2/3 (x-4)(x+5) =1
a = 2; b = 2; c = -43
reflection
a transformation resulting in a mirror image over a line
quadratic equation
an equation that can be written as ax^2+bx+c=0, where 'a' is not zero