Form of Quadratic

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

Which equation matches the graph?

When you subtract a constant from y=x²  what happens to the graph? Eg  y = x² - 2

• Graph moves UP

• Graph moves to the RIGHT

• Graph moves DOWN

• Graph moves to the LEFT

Which way does the graph move if the equation looks like y = (x - 3)² ?

• Graph moves UP 3 units

• Graph moves to the RIGHT 3 units

• Graph moves DOWN 3 units

• Graph moves to the LEFT 3 units

In vertex form, y= a(x-h)²+k, what effect does the a have on the graph?

• Translates vertically

• Translates horizontally

• Dilates (stretches)

What is the green dashed line called?

• roots or x-intercepts

• parabola

• axis of symmetry

• line of dashes

Tags

CCSS.HSF-IF.C.7A

What is the green dot on the parabola called?

• vertex

• root

• dot

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

What steps transform the graph y = x² to y = 1/2(x+2)² - 5?

• Compress by 1/2 , shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 1/2 units left and 2 down

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down