Recent questions in Quadratic Equations

If $g$ is a function defined over the set of all real numbers, and $g(x-2)=2x^2+3x-4$ then which of the following defines $g(x)$ ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

Which of the following is equivalent to $x^3+2x^2-x-2$ ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

A golfer attempts to hit a golf ball over a gorge from a platform above the ground. The function that models the height of the ball is $h(t)= -6t^2+30t+150,$ where $h(t)$ is the height in meters at time $t$ seconds after contact. There are power lines 185 m above the ground. Will the ball hit the power lines?

asked Nov 18, 2019 by priyanka.clay6

1 answer

If $f(x) = (x-2)^2+4$ , then the value of $f(-2) + f(3)$ is

asked Nov 17, 2019 by priyanka.clay6

1 answer

If $x^2+2xy+y^2=36$ and $y-x=6$ what is the value of $x$ ?

asked Nov 17, 2019 by priyanka.clay6

1 answer

If $x^2+12x=64$ and $x>0$ , what is the value of $x$ ?

asked Nov 16, 2019 by priyanka.clay6

1 answer

The figure below shows the graph of the function $f(x)=-x^2$ . Which of the following graphs represent $f(x)=x^2+3$ ?

asked Nov 16, 2019 by priyanka.clay6

1 answer

A cylinder with a top and bottom has radius $3x+1$ and height $x-2$ . The simplified expression for its surface area is

asked Nov 13, 2019 by priyanka.clay6

1 answer

If $Q(x)=bx^2+12$ where $b$ is a constant and $Q(2)=18$ , what is the value of $Q(-2)$ ?

asked Nov 11, 2019 by priyanka.clay6

1 answer

If $(a+2x) (bx+3) = 3x^2 +cx+12$ for all values of $x$ . What are the two possible values of $c$ ?

asked Nov 11, 2019 by priyanka.clay6

1 answer

A high school auditorium has 108 seats arranged in rows. The number of seats in each row is 3 less than the number of rows. How many rows of seats are there in the auditorium ?

asked Nov 5, 2019 by priyanka.clay6

1 answer

$3(x^2+4x+5) - (4x^2+3+2x)$ Which of the following is equivalent to the expression above ?

asked Nov 4, 2019 by priyanka.clay6

1 answer

Which value of x will make the fraction undefined ? $\qquad \qquad \qquad \large\frac{x^2}{9x^2-1}$

asked May 28, 2019 by meena.clay6

1 answer

Let $f(x)=x^2-4x+2$ and $g(x)=6-x$ what is $f(g(x))$ ?

asked May 22, 2019 by meena.clay6

1 answer

If $a+b=30$ and $a-b=6$ What is the value of $a^2+b^2$ ?

asked May 7, 2019 by meena.clay6

1 answer

The axis of symmetry for $f(x)=2x^2-7x+20$ is

asked May 7, 2019 by meena.clay6

1 answer

Which of the following is equivalent to the expression given below $\qquad \qquad \qquad \qquad x^2+3x+5=x^4+2x^2+6x-6$

asked May 3, 2019 by meena.clay6

2 answers

$P(x) = \dfrac{x-5}{(x^2-7x+12)}$ For what value of $x$ is the function undefined ?

asked Apr 30, 2019 by priyanka.clay6

1 answer

If $f(x) = x^3 + 3x$ , What is $f(2) + f(-2)$ ?

asked Apr 30, 2019 by priyanka.clay6

1 answer

If $f(x) = x^3+\sqrt{x}$ and $g(x)=f(4x)$ , what is the value of $g(4)$ ?

asked Apr 29, 2019 by meena.clay6

1 answer

For a polynomial $p(x)$ , the value of $p(4)$ is $-3$ . Which of the following must be true of $p(x)$ ?

asked Apr 29, 2019 by priyanka.clay6

1 answer

If $\bigg(\large\frac{1}{x}+x \bigg)^2$ $=36$ , what is the value of $\large\frac{1}{x^2}+x^2$ ?

asked Apr 29, 2019 by meena.clay6

1 answer

If $a^2+b^2=8$ and $(a-b)^2=4$ , what value of $ab$ ?

asked Apr 28, 2019 by priyanka.clay6

1 answer

$(2x+3) (x-4) =$

asked Apr 27, 2019 by priyanka.clay6

1 answer

If $x^2 + 3 = 128$ , what is the value of $x$ ?

asked Apr 25, 2019 by priyanka.clay6

1 answer

Which of the following is not a point on the graph of $f(x) = x^2 + \dfrac{4}{x^2}$

asked Apr 25, 2019 by priyanka.clay6

1 answer

asked Apr 25, 2019 by priyanka.clay6

1 answer

If $x^2-12x=-11$ and $x>1$ , then $x =$

asked Apr 24, 2019 by priyanka.clay6

1 answer

The solution for $3x^2 - 5x+2=0$ is

asked Apr 7, 2019 by priyanka.clay6

1 answer

$3x(x+5) + 2(2x-5) = ax^2+bx+c$ In the above equation, $a, \; b$ and $c$ are constants. If the equation is true for all values of $x$ , then what is the value of $c$ ?

asked Apr 5, 2019 by priyanka.clay6

1 answer

If $f(x) =x^2 +3$ and $g(x)$ is a transformation of $f(x)$ when its graph is moved 2 units up and 5 units to the left, then what is $g(x)$ ?

asked Apr 5, 2019 by priyanka.clay6

1 answer

The axis of symmetry for the function $f(x) = x^2 -5 +6x$ is

asked Apr 5, 2019 by priyanka.clay6

1 answer

If $f(x) = 4x+7$ and $g(x) = x^2 + 3$ then $f(g(x))$ is

asked Apr 5, 2019 by priyanka.clay6

1 answer

$4x^2 = 3x+c$ In the equation above, $c$ is a constant. If $x=-1$ is a solution of this equation, what other values of $x$ satisfies the equation ?

asked Apr 2, 2019 by priyanka.clay6

1 answer

Given the system of equations below, which of the following could be the value of $a+b$ ? $\qquad \qquad \qquad a^2 - 3b =-9$ $\qquad \qquad \qquad 2a^2 + 5b = 14$

asked Apr 2, 2019 by priyanka.clay6

1 answer

When $y = 2(x-3)(x-4)$ is graphed in the xy plane, what is the $x$ -coordinate of the vertex ?

asked Apr 2, 2019 by priyanka.clay6

1 answer

If $f(x) = 4x+4$ , for what value of $a$ is it true for $4f(a) =f(2a)$ ?

asked Apr 2, 2019 by priyanka.clay6

1 answer

Which of the following is not equal to $6x^2-24x -72$ ?

asked Apr 1, 2019 by priyanka.clay6

1 answer

Simplify : $(2x^2 - 3x +1) \div (2x-1)(x+1)$

asked Mar 31, 2019 by priyanka.clay6

1 answer

The vertex form of the parabola $f(x) = 2x^2 - 4x+1$ is

asked Mar 31, 2019 by priyanka.clay6

1 answer

$y = a(x+3)(x-4)$ In the quadratic equation above, $a$ is a non zero constant. The graph of the equation in the $xy$ -plane, is a parabola with vertex $(c, d)$ . Which of the following is equal to $d$ ?

asked Mar 30, 2019 by priyanka.clay6

1 answer

The factors of the equation : $x^2 - x - 42$ are

asked Mar 30, 2019 by priyanka.clay6

1 answer

The axis of symmetry for $f(x)=2x^2-7x+20$ is

asked Mar 29, 2019 by meena.clay6

1 answer

The factors of $x^2-6x+8$ are

asked Mar 29, 2019 by meena.clay6

1 answer

$y=mx+c$ , where $m$ and $c$ are constants. When $x=5$ => $y=25$ . When $x=10$ => $y=35$ . What is the value of $c$ ?

asked Feb 28, 2019 by meena.clay6

1 answer

If $4x-y=12$ , what is the value of $\Large\frac{16^x}{2^y}$ ?

asked Feb 26, 2019 by meena.clay6

1 answer

For the function $f$ defined below $\qquad \qquad f(x) =c(x+1)-20$ Where $c$ is a constant and $f(3)=4$ . Find the value of $f(-3)$

asked Feb 25, 2019 by meena.clay6

1 answer

Which can be the equation for the graph given below ?

asked Aug 16, 2018 by meena.p

1 answer

$g(x)=ax^2+10$ , where a is $a$ constant and $g(-4)=16$ . What is the value of $g(4)$ ?

asked Aug 16, 2018 by meena.p

1 answer

Let the function f be defined by $f(x)=10x-2a$ , where a is $a$ constant . If $f(5)+f(10)=55$ What is the value of $a$ ?

asked Aug 13, 2018 by meena.p

1 answer

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