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

find the vertex of the parabola whose equation is y = x^2 - 4x + 6

(2, 2)

find the vertex of the parabola whose equation is y = -2x^2 + 8x - 5

(2, 3)

a parabola whose equation is y = (x - 5)^2 - 2 has a vertex at _____

(5, -2)

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 value of 'c' in the quadratic equation 3x^2+5x+7=0?

7

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)

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 line of symmetry for the quadratic equation y = ax^2 + 8x -3 is x = 4. what is the value of 'a'?

-1

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write the equation 2x^2-4x+6=1 in general form and then choose the value of 'c'

5

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

parabola

the u-shaped graph of a quadratic function

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

write the quadratic equation in general form (x-3)^2=0

x^2-6x+9=0

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