Welcome to your ACT 1 Alg: Identify graphs of quadratic

$Q_{1}:$ If $f(x)=ax^{2}+bx+c$, then if $a>0$, the graph opens

$Q_{2}:$ If $f(x)=ax^{2}+bx+c$, then if $a<0$, the d the vertex is the

$Q_{3}:$ If $f(x)=ax^{2}+bx+c$, then the equation of the axis of symmetry is

$Q_{4}:$ If $f(x)=ax^{2}+bx+c$, then the vertex form of a quadratic function can be written in the form

$Q_{5}:$ On a graph, the solutions of a quadratic function is the

$Q_{6}:$ On a graph, to find the y-intercept of a parabola, the first step is ?

$Q_{7}:$ If the parabola has two x-intercepts, then

$Q_{8}:$ Given $f(x)=x^{2}+2x-2$, then $y$ - intercept is

$Q_{9}:$ If $f(x)=x^{2}+16$, then the axis of symmetry is

$Q_{10}:$ Given $f(x)=-(x+2)(x-4)$, then $x$ - intercept is

$Q_{11}:$ Given $f(x)=-(x+2)(x-4)$, the coordinate of the vertex is?

$Q_{12}:$ Which of the following is an equivalent form of the equation of the graph shown bellow, from which the coordinates of vertex $V$ can be identified as constants in the equation?

$Q_{13}:$ Which of the following is an equivalent form of the equation of the graph shown above, that displays the $x$-intercepts of the parabola as constants?

$Q_{14}:$ In the $xy$- plane above, the parabola $y= a(x- h)^{2}$ has one $x$-intercept at $(4,0)$ . If the $y$- intercept of the parabola is $9$, what is the value of $a $?

$Q_{15}:$ In the $xy$- plane, if the parabola with equation $ y=a(x+2)^{2}-15$ passes through $(1,3) $, what is the value of $a $?

$Q_{16}:$ The graph of the equation $y=a(x-1)(x+5)$ is a parabola with vertex $(h,k)$ . If the minimum value of $y$ is $−12 $, what is the value of $a $?

$Q_{17}:$ The graph of the quadratic function above shows two $x$-intercepts and a $y$- intercept. Which of the following equations represents the graph of the quadratic function bellow?

$Q_{18}:$ In the figure below, the vertex of the graph of the quadratic function is at $(3,0) $. The points $B$ and $C$ lie on the parabola. If $ABCD$ is a rectangle with perimeter $38$, which of the following represents the equation of the parabola?

$Q_{19}:$ Which equation has the same graph as $2x^{2} − 4x − y + 11 = 0$?

$Q_{20}:$ A function $f(x)$ is graphed delow, which of the statement is true ?

$Q_{21}:$ If the graph of $f(x)= 2x^{ 2} – 8x + 8 $ crosses the x-axis only at $2$, then $f(x)$

$Q_{22}:$ If $y = ax^{ 2}+ bx + c$ is the equation of a parabola whose axis of symmetry is?

$Q_{23}:$ The vertex (turning point) of the parabola $y = 2x^{ 2} – 4x + 5$ is

$Q_{24}:$ For the equation of a parabola that passes through $(0, 4)$, $(1, 3)$, and $(2, 6)$, one of the following statement is not true.

$Q_{25}:$ Which of the following is the equation of a parabola that does NOT intersect the $x$-axis?