Exploring Quadratic Transformations in TEKS 7C

What does the parent function of a quadratic equation look like?

• y = ax^2 + bx + c

• y = a(x - h)^2 + k

• y = ax^2

• y = x^2

What does a positive 'k' value indicate in a quadratic function?

• Horizontal shift to the right

• Horizontal shift to the left

• Vertical shift upwards

• Vertical stretch

How does a negative 'h' value affect the graph of a quadratic function?

• Moves it to the right

• Moves it downwards

• Moves it to the left

• Moves it upwards

What indicates a vertical shift down in a quadratic function?

• Negative 'k' value

• Positive 'k' value

• Negative 'h' value

• Positive 'h' value

What is the effect of a horizontal shift to the right on the graph's vertex?

• Moves the vertex up

• Moves the vertex down

• Moves the vertex to the right

• Moves the vertex to the left

How does a positive 'h' value affect the graph of a quadratic function?

• Shifts it to the right

• Shifts it upwards

• Shifts it downwards

• Shifts it to the left

What does a fraction between 0 and 1 as an 'a' value signify?

• Reflection across the x-axis

• Vertical stretch

• Horizontal shift to the right

• Horizontal stretch

What does an 'a' value greater than 1 do to the graph of a quadratic function?

• Makes it narrower

• Reflects it across the x-axis

• Makes it wider

• Moves it upwards

What does a vertical stretch do to the graph of a quadratic function?

• Makes it wider

• Shifts it downwards

• Makes it narrower

• Reflects it across the x-axis

What effect does a negative 'a' value have on a quadratic graph?

• Horizontal shift to the left

• Horizontal stretch

• Vertical shift down

• Reflection across the x-axis