SENSEI AI
About App

The problem asks us to find the x-intercepts of the given quadratic function from its graph and select all that apply from the given options. X-intercepts are the points where the graph intersects the x-axis, meaning the y-coordinate is 0 at those points.

AlgebraQuadratic FunctionsX-interceptsGraphing
2025/4/7

1. Problem Description

The problem asks us to find the x-intercepts of the given quadratic function from its graph and select all that apply from the given options. X-intercepts are the points where the graph intersects the x-axis, meaning the y-coordinate is 0 at those points.

2. Solution Steps

From the graph, we can observe two points where the quadratic function intersects the x-axis:
* One point is between -1 and

0. Since one of the options is (-1/2, 0), let's consider that point.

* The other point is at x =

1. Therefore, the two x-intercepts are (-1/2, 0) and (1, 0).

3. Final Answer

The x-intercepts are (-1/2, 0) and (1, 0).

Related problems in "Algebra"

We are given that $(x+2)$ is a factor of the quadratic $x^2 + Px - 10$. We need to find the value of...

Quadratic EquationsFactor TheoremPolynomials
2025/4/10

The problem has two parts. First, we need to find the points of intersection of two given graphs, $y...

Quadratic EquationsSystems of EquationsLinear EquationsCurve IntersectionFunctions
2025/4/10

A woman received a 20% discount on a piece of cloth she purchased from a shop. She paid $525.00. We ...

PercentageLinear EquationsWord Problem
2025/4/10

The problem provides a table of $x$ and $y$ values for points on a linear graph. The goal is to find...

Linear EquationsSlopeCoordinate Geometry
2025/4/10

The problem asks which function results from applying a series of transformations to the base functi...

Function TransformationsLogarithmic FunctionsFunction Composition
2025/4/10

The problem states that the function $f(x) = log_{10}x$ has the point $(10, 1)$ on its graph. We ne...

LogarithmsFunction TransformationsCoordinate Geometry
2025/4/10

The problem asks to find the function that results from transforming $f(x) = \log_{10}x$ by a vertic...

Function TransformationsLogarithmic FunctionsTransformations of Graphs
2025/4/10

The problem asks to solve the logarithmic equation $\log_x 81 = 4$ for $x$.

LogarithmsEquationsExponentsSolving Equations
2025/4/10

The problem asks us to evaluate the logarithmic expression $\log_2 \sqrt[3]{64}$.

LogarithmsExponentsSimplification
2025/4/10

We need to determine which of the given statements about transformed logarithmic functions is true.

Logarithmic FunctionsTransformationsDomain and RangeAsymptotes
2025/4/10