Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to find the orientation, vertex, y-intercept, and axis of symmetry of the parabo...
ParabolaQuadratic FunctionsVertexY-interceptAxis of Symmetry
2025/7/3
We are given a quadratic function in vertex form, $f(x) = a(x - h)^2 + k$. The vertex of the quadrat...
Quadratic FunctionsVertex FormParabolaFunction Evaluation
2025/7/3
We are given a quadratic function $f(x)$ in the factored form $f(x) = a(x-p)(x-q)$. We are given the...
Quadratic FunctionsFactored Formx-interceptsFinding the Equation
2025/7/3
The problem asks us to find the equation of a quadratic function in factored form, given three point...
Quadratic FunctionsFactored FormX-interceptsSolving for a constant
2025/7/3
The problem asks us to find the x-intercepts and y-intercept of the quadratic function $f(x) = -x^2 ...
Quadratic Functionsx-interceptsy-interceptsFactoringCoordinate Geometry
2025/7/3
The problem asks us to find the $x$-intercepts and the $y$-intercept of the quadratic function $f(x)...
Quadratic FunctionsInterceptsSolving Equations
2025/7/3
The problem asks us to factor the quadratic equation $x^2 - 49 = 0$ and find its solutions $x_1$ and...
Quadratic EquationsFactoringDifference of SquaresSolving Equations
2025/7/3
We are given the function $f(x) = -\frac{1}{2}x + 16$ and we need to find its inverse, $f^{-1}(y)$.
Inverse FunctionsLinear Functions
2025/7/3
The problem gives a quadratic equation in factored form: $y = 2.1(x-1)(x-9)$. We need to find the x-...
Quadratic EquationsX-interceptsFactored FormCoordinate Geometry
2025/7/3
The problem gives a quadratic equation $y = -1.4x^2 - 6x - 23$ in standard form. We need to find the...
Quadratic EquationsParabolaY-interceptGraphing
2025/7/3