Topics
>
Algebra 1>
Quadratic Equations and Functions>
Intro to Quadratic Functions (Parabolas)>
Intro to Quadratic Functions (Parabolas) 2Intro to Quadratic Functions (Parabolas) 2
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 5 questions completed
Questions:
 1
 2
 3
 4
 5
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
 1
 2
 3
 4
 5
 Answered
 Review

Question 1 of 5
1. Question
Which of the following shows the graph of `y=x^2+3`?Hint
Help VideoCorrect
Correct!
Incorrect
The Basic Form of a Parabola
`y=``a``x^2+``C`Vertex: `(0,``C``)`First, identify the vertex of the parabola from the equation.`y` `=` `a``x^2+``C` `y` `=` `(``1``)x^2+``3` Highlight values of `a` and `C` `a` `=` `1` `C` `=` `3` Vertex is at `(0,``C``)`, so the graph’s vertex is at `(0,``3``)`.Plot the vertex on the graph.Because the value of `a` is positive, the parabola is concave up. Draw a parabola from the vertex. 
Question 2 of 5
2. Question
Which of the following shows the graph of `y=x^2`?Hint
Help VideoCorrect
Fantastic!
Incorrect
The Basic Form of a Parabola
`y=``a``x^2+``C`Vertex: `(0,``C``)`First, identify the vertex of the parabola from the equation.`y` `=` `a``x^2+``C` `y` `=` `x^2` `y` `=` `(``1``)x^2+``0` Highlight values of `a` and `C` `a` `=` `1` `C` `=` `0` Vertex is at `(0,``C``)`, so the graph’s vertex is at `(0,``0``)`.Plot the vertex on the graph.Because the value of `a` is positive, the parabola is concave up. Draw a parabola from the vertex. 
Question 3 of 5
3. Question
Which of the following shows the graph of `y=x^24`?Correct
Nice Job!
Incorrect
The Basic Form of a Parabola
`y=``a``x^2+``C`Vertex: `(0,``C``)`First, identify the vertex of the parabola from the equation.`y` `=` `a``x^2+``C` `y` `=` `x^2` `y` `=` `(``1``)x^2+(``4``)` Highlight values of `a` and `C` `a` `=` `1` `C` `=` `4` Vertex is at `(0,``C``)`, so the graph’s vertex is at `(0,``4``)`.Plot the vertex on the graph.Because the value of `a` is positive, the parabola is concave up. Draw a parabola from the vertex. 
Question 4 of 5
4. Question
Which of the following shows the equation of the graph below?Hint
Help VideoCorrect
Nice Job!
Incorrect
If `a>0`, the parabola is concave up.
If `a<0`, the parabola is concave down.
A big `a` means a narrow parabola while a small `a` means it is wide.A point on the parabola is `(``2`,`20``)`.Substitute the values of `x` and `y` into the equation for parabola.`y` `=` $$a\color{green}{x}^{2}$$ Equation of the parabola `20` `=` $$a(\color{green}{2})^{2}$$ `x=2` and `y=20` `20` `=` `4a` Simplify `5` `=` `a` Divide both sides by `4` `a` `=` `5` Substitute the value of `a` back to the equation.`y` `=` $$a\color{green}{x}^{2}$$ Equation of the parabola `y` `=` $$5\color{green}{x}^{2}$$ `a=5` `y` `=` `5x^2` `y=5x^2` 
Question 5 of 5
5. Question
Which of the following shows the equation of the graph below?Hint
Help VideoCorrect
Well Done!
Incorrect
If `a>0`, the parabola is concave up.
If `a<0`, the parabola is concave down.
A big `a` means a narrow parabola while a small `a` means it is wide.A point on the parabola is `(``3`,`3``)`.Substitute the values of `x` and `y` into the equation for parabola.`y` `=` $$a\color{green}{x}^{2}$$ Equation of the parabola `3` `=` $$a(\color{green}{3})^{2}$$ `x=3` and `y=3` `3` `=` `9a` Simplify `1/3` `=` `a` Divide both sides by `9` `a` `=` `1/3` Substitute the value of `a` back to the equation.`y` `=` $$a\color{green}{x}^{2}$$ Equation of the parabola `y` `=` $$\frac{1}{3} \color{green}{x}^{2}$$ `a=1/3` `y` `=` `1/3x^2` `y=1/3x^2`
Quizzes
 Solve Quadratics by Factoring
 The Quadratic Formula
 Completing the Square 1
 Completing the Square 2
 Intro to Quadratic Functions (Parabolas) 1
 Intro to Quadratic Functions (Parabolas) 2
 Intro to Quadratic Functions (Parabolas) 3
 Graph Quadratic Functions in Standard Form 1
 Graph Quadratic Functions in Standard Form 2
 Graph Quadratic Functions by Completing the Square
 Graph Quadratic Functions in Vertex Form
 Write a Quadratic Equation from the Graph
 Write a Quadratic Equation Given the Vertex and Another Point
 Quadratic Inequalities 1
 Quadratic Inequalities 2
 Quadratics Word Problems 1
 Quadratics Word Problems 2
 Quadratic Identities
 Graphing Quadratics Using the Discriminant
 Positive and Negative Definite
 Applications of the Discriminant 1
 Applications of the Discriminant 2
 Combining Methods for Solving Quadratic Equations