Solving Quadratic Equations by Graphing

The video tutorial by Mr. Backer covers solving quadratic equations by graphing. It explains the process of setting quadratic equations to zero and finding solutions, roots, or zeros by identifying x-intercepts on a graph. The tutorial includes examples with different outcomes: two solutions, one solution, and no solutions. It also demonstrates using a graphing website and making algebraic adjustments to equations before graphing.

What is the standard form of a quadratic equation?

• y = ax + b

• y = ax^2 + bx + c

• y = ax^3 + bx^2 + c

• y = a + bx + c

What are the solutions to a quadratic equation also known as?

• Intercepts

• Vertices

• Coefficients

• Roots

What are we looking for when solving quadratic equations by graphing?

• Y-intercepts

• X-intercepts

• Vertices

• Slopes

How many solutions does a parabola have if it intersects the x-axis in two places?

• One

• Three

• Two

• None

What is the x-intercept of the equation y = x^2 - 2x - 3?

• x = 0 and x = 3

• x = 2 and x = -2

• x = 1 and x = -3

• x = -1 and x = 3

Which website is used in the video to graph equations?

• www.graphsketch.com

• www.graphingtool.com

• www.mathgraph.com

• www.equationplotter.com

How many solutions does the equation -x^2 + 2x - 1 have?

• One

• Two

• None

• Three

What is the x-intercept of the equation y = x^2 - 4x + 7?

• x = -1

• x = 3

• x = 1

• None

What must be done to the equation x^2 - 5x = 6 before graphing?

• Divide both sides by 6

• Add 6 to both sides

• Multiply both sides by 6

• Subtract 6 from both sides

What is the x-intercept of the equation -x^2 + 6x - 9?

• x = 3

• x = -1

• x = 1

• x = -3