ACT 1 Geo: Determine points or lines of symmetry

$Q_{1}:$ Which of the following shapes has exactly four lines of symmetry?

$Q_{2}:$ Determine axis of symmetry for $f(x)=2x+x^{2}$

$Q_{3}:$ What is the axis of symmetry of the graph of $y = −5(x + 1)^{2} + 9$?

$Q_{4}:$ How many lines of symmetry does a rhombus have?

$Q_{5}:$ What is the axis of symmetry for $x^{ 2} − 3x − 4 = 0$?

$Q_{6}:$ A function for which $−f(x) = f(−x)$ odd functions, which of the following is true?

$Q_{7}:$ Which of the following functions with symmetry across the y-axis ?

$Q_{8}:$ Which of the following graphs is symmetrical with respect to the x-axis?

$Q_{9}:$ A function that seems to have a mirror image reflected in the y-axis is?

$Q_{10}:$ The axis of symmetry of the parabola is the line ...........?

$Q_{11}:$ If an even function is one for which $f(x)$ and $f(-x)$ are equal, then which of the following is an even function?

$Q_{12}:$ Which of the following graphs of functions is symmetrical with respect to the line $y = x $?

$Q_{13}:$ Given $g(x)=x^{2}+4x-2$, find the axis of symmetry?

$Q_{14}:$ Given $k(x)=-(x+2)(x-4)$, find the axis of symmetry?

$Q_{15}:$ A parabola with the equation $t(x)=a(x+1)(x-3)$ has a minimum value at $x = 1$, find the axis of symmetry?

$Q_{16}:$ Which of the following best describes the relationship between the graph of $y=\frac{2}{x^{2}}$ and the graph of $x=\frac{2}{y^{2}}$ in the $xy$-plane?

$Q_{17}:$ Where is the axis of symmetry for the quadratic defined by the function $r(x) =2(x- 1) + 9$?

$Q_{18}:$ How many lines of symmetry does a regular pentagon have?

$Q_{19}:$ Which option of shapes has no line of symmetry?

$Q_{20}:$ The number of lines of symmetry for the kite below is?

$Q_{21}:$ How many lines of symmetry does the graph below have?

$Q_{22}:$ The graph of $y=-\frac{1}{x}$ has two lines of symmetry. One of these lines shows in graph below, the other one is?

$Q_{23}:$ You are given a geometric figure and asked to determine if it has a line of symmetry. Which of the following properties is true for a figure with a line of symmetry?

$Q_{24}:$ You have a polygon and want to find the number of lines of symmetry it has. What type of polygon is guaranteed to have the maximum number of lines of symmetry?

$Q_{25}:$ You are given a figure with multiple lines of symmetry. If you fold the figure along one of its lines of symmetry, what property remains unchanged about the folded figure?